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23003212320 = 25325111452223
BaseRepresentation
bin10101011011000110…
…010010101000100000
32012101010121021001200
4111123012102220200
5334102310243240
614322330401200
71443020035644
oct253306225040
965333537050
1023003212320
119834793980
12455b890200
13222794534a
1411830c6c24
158e9746930
hex55b192a20

23003212320 has 144 divisors (see below), whose sum is σ = 85634744832. Its totient is φ = 5576532480.

The previous prime is 23003212259. The next prime is 23003212333. The reversal of 23003212320 is 2321230032.

It is a happy number.

23003212320 is a `hidden beast` number, since 2 + 300 + 32 + 12 + 320 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 23003212293 and 23003212302.

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, 710272 + ... + 741951.

It is an arithmetic number, because the mean of its divisors is an integer number (594685728).

Almost surely, 223003212320 is an apocalyptic number.

23003212320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23003212320 is an abundant number, since it is smaller than the sum of its proper divisors (62631532512).

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

23003212320 is a wasteful number, since it uses less digits than its factorization.

23003212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452255 (or 1452244 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23003212320 its reverse (2321230032), we get a palindrome (25324442352).

The spelling of 23003212320 in words is "twenty-three billion, three million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 15840 1452223 2904446 4356669 5808892 7261115 8713338 11617784 13070007 14522230 15974453 17426676 21783345 23235568 26140014 29044460 31948906 34853352 43566690 46471136 47923359 52280028 58088920 63897812 65350035 69706704 79872265 87133380 95846718 104560056 116177840 127795624 130700070 139413408 143770077 159744530 174266760 191693436 209120112 232355680 239616795 255591248 261400140 287540154 319489060 348533520 383386872 418240224 479233590 511182496 522800280 575080308 638978120 697067040 718850385 766773744 958467180 1045600560 1150160616 1277956240 1437700770 1533547488 1916934360 2091201120 2300321232 2555912480 2875401540 3833868720 4600642464 5750803080 7667737440 11501606160 23003212320