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230252000 = 2553115233
BaseRepresentation
bin11011011100101…
…01110111100000
3121001021000100212
431232111313200
5432421031000
634503033252
75464052426
oct1556256740
9531230325
10230252000
11108a75810
126513b828
1338919bb4
1422819116
1515332c35
hexdb95de0

230252000 has 96 divisors (see below), whose sum is σ = 617277024. Its totient is φ = 83712000.

The previous prime is 230251997. The next prime is 230252017. The reversal of 230252000 is 252032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41384 + ... + 46616.

It is an arithmetic number, because the mean of its divisors is an integer number (6429969).

Almost surely, 2230252000 is an apocalyptic number.

230252000 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 230252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308638512).

230252000 is an abundant number, since it is smaller than the sum of its proper divisors (387025024).

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

230252000 is a wasteful number, since it uses less digits than its factorization.

230252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5269 (or 5251 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 230252000 is about 15174.0568075910. The cubic root of 230252000 is about 612.9162518305.

The spelling of 230252000 in words is "two hundred thirty million, two hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5233 5500 8800 10466 11000 20932 22000 26165 41864 44000 52330 57563 83728 104660 115126 130825 167456 209320 230252 261650 287815 418640 460504 523300 575630 654125 837280 921008 1046600 1151260 1308250 1439075 1842016 2093200 2302520 2616500 2878150 4186400 4605040 5233000 5756300 7195375 9210080 10466000 11512600 14390750 20932000 23025200 28781500 46050400 57563000 115126000 230252000