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23023442224422 = 23413113738920357
BaseRepresentation
bin1010011110000100100000…
…00110000110010100100110
310000112000112021102011120000
411033002100012012110212
511004204002202140142
6120544453501522130
74564250234631423
oct517022006062446
9100460467364500
1023023442224422
117377206a08a02
1226ba120273346
13cb01416a9543
145984aa678d4a
1529dd5c63e14c
hex14f090186526

23023442224422 has 160 divisors (see below), whose sum is σ = 52500006804960. Its totient is φ = 7540500764160.

The previous prime is 23023442224417. The next prime is 23023442224439. The reversal of 23023442224422 is 22442224432032.

23023442224422 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 3 + 4 + 4 + 2 + 224 + 422 = 666.

It is a super-2 number, since 2×230234422244222 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1130973868 + ... + 1130994224.

It is an arithmetic number, because the mean of its divisors is an integer number (328125042531).

Almost surely, 223023442224422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23023442224422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26250003402480).

23023442224422 is an abundant number, since it is smaller than the sum of its proper divisors (29476564580538).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23023442224422 is a wasteful number, since it uses less digits than its factorization.

23023442224422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21028 (or 21019 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 23023442224422 its reverse (22442224432032), we get a palindrome (45465666656454).

The spelling of 23023442224422 in words is "twenty-three trillion, twenty-three billion, four hundred forty-two million, two hundred twenty-four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 131 137 162 262 274 389 393 411 778 786 822 1167 1179 1233 2334 2358 2466 3501 3537 3699 7002 7074 7398 10503 10611 11097 17947 20357 21006 21222 22194 31509 35894 40714 50959 53293 53841 61071 63018 101918 106586 107682 122142 152877 159879 161523 183213 305754 319758 323046 366426 458631 479637 484569 549639 917262 959274 969138 1099278 1375893 1438911 1453707 1648917 2666767 2751786 2788909 2877822 2907414 3297834 4127679 4316733 5333534 5577818 6981383 7918873 8000301 8255358 8366727 8633466 13962766 15837746 16000602 16733454 20944149 23756619 24000903 25100181 41888298 47513238 48001806 50200362 62832447 71269857 72002709 75300543 125664894 142539714 144005418 150601086 188497341 213809571 216008127 225901629 365347079 376994682 427619142 432016254 451803258 565492023 641428713 730694158 1037372363 1084885601 1096041237 1130984046 1282857426 2074744726 2169771202 2192082474 3112117089 3254656803 3288123711 6224234178 6509313606 6576247422 9336351267 9763970409 9864371133 18672702534 19527940818 19728742266 28009053801 29291911227 29593113399 56018107602 58583822454 59186226798 84027161403 87875733681 142120013731 168054322806 175751467362 284240027462 426360041193 852720082386 1279080123579 2558160247158 3837240370737 7674480741474 11511721112211 23023442224422