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23030402400 = 2532523198667
BaseRepresentation
bin10101011100101110…
…000000110101100000
32012110000202122211200
4111130232000311200
5334131240334100
614325141241200
71443500122215
oct253456006540
965400678750
1023030402400
119849075215
124568a03200
132230475355
141186963b0c
158ebd17e00
hex55cb80d60

23030402400 has 108 divisors (see below), whose sum is σ = 81210981852. Its totient is φ = 6141438720.

The previous prime is 23030402387. The next prime is 23030402407. The reversal of 23030402400 is 420403032.

23030402400 is a `hidden beast` number, since 230 + 30 + 4 + 0 + 2 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23030402407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1592134 + ... + 1606533.

Almost surely, 223030402400 is an apocalyptic number.

23030402400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23030402400 is an abundant number, since it is smaller than the sum of its proper divisors (58180579452).

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

23030402400 is a wasteful number, since it uses less digits than its factorization.

23030402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3198693 (or 3198677 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 23030402400 its reverse (420403032), we get a palindrome (23450805432).

The spelling of 23030402400 in words is "twenty-three billion, thirty million, four hundred two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 600 720 800 900 1200 1440 1800 2400 3600 7200 3198667 6397334 9596001 12794668 15993335 19192002 25589336 28788003 31986670 38384004 47980005 51178672 57576006 63973340 76768008 79966675 95960010 102357344 115152012 127946680 143940015 153536016 159933350 191920020 230304024 239900025 255893360 287880030 307072032 319866700 383840040 460608048 479800050 511786720 575760060 639733400 719700075 767680080 921216096 959600100 1151520120 1279466800 1439400150 1535360160 1919200200 2303040240 2558933600 2878800300 3838400400 4606080480 5757600600 7676800800 11515201200 23030402400