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23312285304 = 23371126214813
BaseRepresentation
bin10101101101100001…
…010011111001111000
32020011200011210111020
4111231201103321320
5340220421112204
614413131102440
71453462104240
oct255541237170
966150153436
1023312285304
1199831a4aa0
1246272a1a20
13227699ba79
1411b217cb20
15916948bd9
hex56d853e78

23312285304 has 128 divisors (see below), whose sum is σ = 72704494080. Its totient is φ = 6051571200.

The previous prime is 23312285291. The next prime is 23312285309. The reversal of 23312285304 is 40358221332.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23312285309) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4841202 + ... + 4846014.

It is an arithmetic number, because the mean of its divisors is an integer number (568003860).

Almost surely, 223312285304 is an apocalyptic number.

23312285304 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 23312285304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36352247040).

23312285304 is an abundant number, since it is smaller than the sum of its proper divisors (49392208776).

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

23312285304 is a wasteful number, since it uses less digits than its factorization.

23312285304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7461 (or 7457 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 23312285304 in words is "twenty-three billion, three hundred twelve million, two hundred eighty-five thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 2621 4813 5242 7863 9626 10484 14439 15726 18347 19252 20968 28831 28878 31452 33691 36694 38504 52943 55041 57662 57756 62904 67382 73388 86493 101073 105886 110082 115324 115512 134764 146776 158829 172986 201817 202146 211772 220164 230648 269528 317658 345972 370601 403634 404292 423544 440328 605451 635316 691944 741202 807268 808584 1111803 1210902 1270632 1482404 1614536 2223606 2421804 2964808 4447212 4843608 8894424 12614873 25229746 37844619 50459492 75689238 88304111 100918984 138763603 151378476 176608222 264912333 277527206 302756952 353216444 416290809 529824666 555054412 706432888 832581618 971345221 1059649332 1110108824 1665163236 1942690442 2119298664 2914035663 3330326472 3885380884 5828071326 7770761768 11656142652 23312285304