Search a number
-
+
23223687400 = 2352412671031
BaseRepresentation
bin10101101000001111…
…010101100011101000
32012221111110120000101
4111220033111203220
5340030230444100
614400244115144
71451335041304
oct255017254350
965844416011
1023223687400
119938191091
124601695ab4
13226151b084
1411a44b8d04
1590dc9786a
hex5683d58e8

23223687400 has 144 divisors (see below), whose sum is σ = 56224660320. Its totient is φ = 8918976000.

The previous prime is 23223687373. The next prime is 23223687427. The reversal of 23223687400 is 478632232.

It is an interprime number because it is at equal distance from previous prime (23223687373) and next prime (23223687427).

It is a self number, because there is not a number n which added to its sum of digits gives 23223687400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22524885 + ... + 22525915.

It is an arithmetic number, because the mean of its divisors is an integer number (390449030).

Almost surely, 223223687400 is an apocalyptic number.

23223687400 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 23223687400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28112330160).

23223687400 is an abundant number, since it is smaller than the sum of its proper divisors (33000972920).

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

23223687400 is a wasteful number, since it uses less digits than its factorization.

23223687400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The spelling of 23223687400 in words is "twenty-three billion, two hundred twenty-three million, six hundred eighty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 67 82 100 134 164 200 205 268 328 335 410 536 670 820 1025 1031 1340 1640 1675 1681 2050 2062 2680 2747 3350 3362 4100 4124 5155 5494 6700 6724 8200 8248 8405 10310 10988 13400 13448 13735 16810 20620 21976 25775 27470 33620 41240 42025 42271 51550 54940 67240 68675 69077 84050 84542 103100 109880 112627 137350 138154 168100 169084 206200 211355 225254 274700 276308 336200 338168 345385 422710 450508 549400 552616 563135 690770 845420 901016 1056775 1126270 1381540 1690840 1726925 1733111 2113550 2252540 2763080 2815675 2832157 3453850 3466222 4227100 4505080 5631350 5664314 6907700 6932444 8454200 8665555 11262700 11328628 13815400 13864888 14160785 17331110 22525400 22657256 28321570 34662220 43327775 56643140 69324440 70803925 86655550 113286280 116118437 141607850 173311100 232236874 283215700 346622200 464473748 566431400 580592185 928947496 1161184370 2322368740 2902960925 4644737480 5805921850 11611843700 23223687400