Search a number
-
+
23220404444300 = 22527196192820509
BaseRepresentation
bin1010100011110011010111…
…11101010101110010001100
310001012211220220120122010112
411101321223331111302030
511020420342014204200
6121215150113455152
74614422161111550
oct521715375256214
9101184826518115
1023220404444300
117442799a54a18
12273032a5714b8
13cc58a0546b8b
145a3c3311b860
152a403905a535
hex151e6bf55c8c

23220404444300 has 144 divisors (see below), whose sum is σ = 60715426464000. Its totient is φ = 7530079438080.

The previous prime is 23220404444257. The next prime is 23220404444317. The reversal of 23220404444300 is 344440402232.

It is a super-3 number, since 3×232204044443003 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6822446 + ... + 9642954.

It is an arithmetic number, because the mean of its divisors is an integer number (421634906000).

Almost surely, 223220404444300 is an apocalyptic number.

23220404444300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23220404444300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30357713232000).

23220404444300 is an abundant number, since it is smaller than the sum of its proper divisors (37495022019700).

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

23220404444300 is a wasteful number, since it uses less digits than its factorization.

23220404444300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2821168 (or 2821161 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 23220404444300 its reverse (344440402232), we get a palindrome (23564844846532).

The spelling of 23220404444300 in words is "twenty-three trillion, two hundred twenty billion, four hundred four million, four hundred forty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 475 532 619 665 700 950 1238 1330 1900 2476 2660 3095 3325 4333 6190 6650 8666 11761 12380 13300 15475 17332 21665 23522 30950 43330 47044 58805 61900 82327 86660 108325 117610 164654 216650 235220 294025 329308 411635 433300 588050 823270 1176100 1646540 2058175 2820509 4116350 5641018 8232700 11282036 14102545 19743563 28205090 39487126 53589671 56410180 70512725 78974252 98717815 107179342 141025450 197435630 214358684 267948355 282050900 375127697 394871260 493589075 535896710 750255394 987178150 1071793420 1339741775 1500510788 1745895071 1875638485 1974356300 2679483550 3491790142 3751276970 5358967100 6983580284 7502553940 8729475355 9378192425 12221265497 17458950710 18756384850 24442530994 33172006349 34917901420 37512769700 43647376775 48885061988 61106327485 66344012698 87294753550 122212654970 132688025396 165860031745 174589507100 232204044443 244425309940 305531637425 331720063490 464408088886 611063274850 663440126980 829300158725 928816177772 1161020222215 1222126549700 1658600317450 2322040444430 3317200634900 4644080888860 5805101111075 11610202222150 23220404444300