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23325021216 = 2532783139397
BaseRepresentation
bin10101101110010001…
…111001010000100000
32020012120010211212200
4111232101321100200
5340232201134331
614414304053200
71454005260210
oct255621712040
966176124780
1023325021216
11998a403742
12462b604200
13227950aa03
1411b3b36240
15917b125e6
hex56e479420

23325021216 has 144 divisors (see below), whose sum is σ = 76720198464. Its totient is φ = 6583951872.

The previous prime is 23325021197. The next prime is 23325021227. The reversal of 23325021216 is 61212052332.

It is a happy number.

23325021216 is a `hidden beast` number, since 2 + 3 + 32 + 502 + 121 + 6 = 666.

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

It is a super-2 number, since 2×233250212162 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23325021216.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97630 + ... + 237026.

It is an arithmetic number, because the mean of its divisors is an integer number (532779156).

Almost surely, 223325021216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23325021216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38360099232).

23325021216 is an abundant number, since it is smaller than the sum of its proper divisors (53395177248).

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

23325021216 is a wasteful number, since it uses less digits than its factorization.

23325021216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139503 (or 139492 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 23325021216 its reverse (61212052332), we get a palindrome (84537073548).

The spelling of 23325021216 in words is "twenty-three billion, three hundred twenty-five million, twenty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 83 84 96 112 126 144 166 168 224 249 252 288 332 336 498 504 581 664 672 747 996 1008 1162 1328 1494 1743 1992 2016 2324 2656 2988 3486 3984 4648 5229 5976 6972 7968 9296 10458 11952 13944 18592 20916 23904 27888 41832 55776 83664 139397 167328 278794 418191 557588 836382 975779 1115176 1254573 1672764 1951558 2230352 2509146 2927337 3345528 3903116 4460704 5018292 5854674 6691056 7806232 8782011 10036584 11569951 11709348 13382112 15612464 17564022 20073168 23139902 23418696 31224928 34709853 35128044 40146336 46279804 46837392 69419706 70256088 80989657 92559608 93674784 104129559 138839412 140512176 161979314 185119216 208259118 242968971 277678824 281024352 323958628 370238432 416518236 485937942 555357648 647917256 728906913 833036472 971875884 1110715296 1295834512 1457813826 1666072944 1943751768 2591669024 2915627652 3332145888 3887503536 5831255304 7775007072 11662510608 23325021216