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23250355000 = 2354231811117
BaseRepresentation
bin10101101001110101…
…000100001100111000
32020000100122102002021
4111221311010030320
5340104042330000
614403035444224
71452110520355
oct255165041470
966010572067
1023250355000
119951245924
12460a5b6674
132266bc7312
1411a7c5b62c
159112b411a
hex569d44338

23250355000 has 160 divisors (see below), whose sum is σ = 57209312160. Its totient is φ = 8838720000.

The previous prime is 23250354983. The next prime is 23250355003. The reversal of 23250355000 is 55305232.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23250355003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20814442 + ... + 20815558.

It is an arithmetic number, because the mean of its divisors is an integer number (357558201).

Almost surely, 223250355000 is an apocalyptic number.

23250355000 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 23250355000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28604656080).

23250355000 is an abundant number, since it is smaller than the sum of its proper divisors (33958957160).

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

23250355000 is a wasteful number, since it uses less digits than its factorization.

23250355000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 25.

The spelling of 23250355000 in words is "twenty-three billion, two hundred fifty million, three hundred fifty-five thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 181 184 200 230 250 362 460 500 575 625 724 905 920 1000 1117 1150 1250 1448 1810 2234 2300 2500 2875 3620 4163 4468 4525 4600 5000 5585 5750 7240 8326 8936 9050 11170 11500 14375 16652 18100 20815 22340 22625 23000 25691 27925 28750 33304 36200 41630 44680 45250 51382 55850 57500 83260 90500 102764 104075 111700 113125 115000 128455 139625 166520 181000 202177 205528 208150 223400 226250 256910 279250 404354 416300 452500 513820 520375 558500 642275 698125 808708 832600 905000 1010885 1027640 1040750 1117000 1284550 1396250 1617416 2021770 2081500 2569100 2601875 2792500 3211375 4043540 4163000 4650071 5054425 5138200 5203750 5585000 6422750 8087080 9300142 10108850 10407500 12845500 16056875 18600284 20217700 20815000 23250355 25272125 25691000 32113750 37200568 40435400 46500710 50544250 64227500 93001420 101088500 116251775 126360625 128455000 186002840 202177000 232503550 252721250 465007100 505442500 581258875 930014200 1010885000 1162517750 2325035500 2906294375 4650071000 5812588750 11625177500 23250355000