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23115122400 = 2535238325147
BaseRepresentation
bin10101100001110001…
…001100011011100000
32012122221011212211110
4111201301030123200
5334314432404100
614341405143320
71445546204256
oct254161143340
965587155743
1023115122400
11989197a647
12459125ab40
132244b98c26
141193cd85d6
159044a0250
hex561c4c6e0

23115122400 has 144 divisors (see below), whose sum is σ = 75439171584. Its totient is φ = 6147694080.

The previous prime is 23115122399. The next prime is 23115122447. The reversal of 23115122400 is 422151132.

It is a congruent number.

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, 906627 + ... + 931773.

It is an arithmetic number, because the mean of its divisors is an integer number (523883136).

Almost surely, 223115122400 is an apocalyptic number.

23115122400 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 23115122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37719585792).

23115122400 is an abundant number, since it is smaller than the sum of its proper divisors (52324049184).

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

23115122400 is a wasteful number, since it uses less digits than its factorization.

23115122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25553 (or 25540 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 23115122400 its reverse (422151132), we get a palindrome (23537273532).

The spelling of 23115122400 in words is "twenty-three billion, one hundred fifteen million, one hundred twenty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 383 400 480 600 766 800 1149 1200 1532 1915 2298 2400 3064 3830 4596 5745 6128 7660 9192 9575 11490 12256 15320 18384 19150 22980 25147 28725 30640 36768 38300 45960 50294 57450 61280 75441 76600 91920 100588 114900 125735 150882 153200 183840 201176 229800 251470 301764 306400 377205 402352 459600 502940 603528 628675 754410 804704 919200 1005880 1207056 1257350 1508820 1886025 2011760 2414112 2514700 3017640 3772050 4023520 5029400 6035280 7544100 9631301 10058800 12070560 15088200 19262602 20117600 28893903 30176400 38525204 48156505 57787806 60352800 77050408 96313010 115575612 144469515 154100816 192626020 231151224 240782525 288939030 308201632 385252040 462302448 481565050 577878060 722347575 770504080 924604896 963130100 1155756120 1444695150 1541008160 1926260200 2311512240 2889390300 3852520400 4623024480 5778780600 7705040800 11557561200 23115122400