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22313123424 = 2532177164189
BaseRepresentation
bin10100110001111101…
…110011111001100000
32010121001002010001200
4110301331303321200
5331144124422144
614130035401200
71416640263654
oct246175637140
963531063050
1022313123424
1195101a3979
1243a8753200
132147996217
1411195aca64
158a8d80c69
hex531f73e60

22313123424 has 144 divisors (see below), whose sum is σ = 68132806560. Its totient is φ = 6901493760.

The previous prime is 22313123401. The next prime is 22313123453. The reversal of 22313123424 is 42432131322.

22313123424 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 312 + 342 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×223131234243 (a number of 32 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315522 + ... + 379710.

It is an arithmetic number, because the mean of its divisors is an integer number (473144490).

Almost surely, 222313123424 is an apocalyptic number.

22313123424 is a gapful number since it is divisible by the number (24) 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 22313123424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34066403280).

22313123424 is an abundant number, since it is smaller than the sum of its proper divisors (45819683136).

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

22313123424 is a wasteful number, since it uses less digits than its factorization.

22313123424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64293 (or 64282 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 22313123424 its reverse (42432131322), we get a palindrome (64745254746).

The spelling of 22313123424 in words is "twenty-two billion, three hundred thirteen million, one hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 71 72 96 102 136 142 144 153 204 213 272 284 288 306 408 426 544 568 612 639 816 852 1136 1207 1224 1278 1632 1704 2272 2414 2448 2556 3408 3621 4828 4896 5112 6816 7242 9656 10224 10863 14484 19312 20448 21726 28968 38624 43452 57936 64189 86904 115872 128378 173808 192567 256756 347616 385134 513512 577701 770268 1027024 1091213 1155402 1540536 2054048 2182426 2310804 3081072 3273639 4364852 4557419 4621608 6162144 6547278 8729704 9114838 9243216 9820917 13094556 13672257 17459408 18229676 18486432 19641834 26189112 27344514 34918816 36459352 39283668 41016771 52378224 54689028 72918704 77476123 78567336 82033542 104756448 109378056 145837408 154952246 157134672 164067084 218756112 232428369 309904492 314269344 328134168 437512224 464856738 619808984 656268336 697285107 929713476 1239617968 1312536672 1394570214 1859426952 2479235936 2789140428 3718853904 5578280856 7437707808 11156561712 22313123424