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230015255200 = 25524724172531
BaseRepresentation
bin1101011000110111111…
…0100100001010100000
3210222201011021122001221
43112031332210022200
512232032401131300
6253400105104424
722421664260443
oct3261576441240
9728634248057
10230015255200
1189604684735
12386b3788114
13188c88c5b03
14b1c057b65a
155eb35b331a
hex358dfa42a0

230015255200 has 144 divisors (see below), whose sum is σ = 573936015744. Its totient is φ = 89975705600.

The previous prime is 230015255147. The next prime is 230015255219. The reversal of 230015255200 is 2552510032.

It is a happy number.

It is a super-2 number, since 2×2300152552002 (a number of 24 digits) contains 22 as substring.

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

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, 90877935 + ... + 90880465.

It is an arithmetic number, because the mean of its divisors is an integer number (3985666776).

Almost surely, 2230015255200 is an apocalyptic number.

230015255200 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 230015255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286968007872).

230015255200 is an abundant number, since it is smaller than the sum of its proper divisors (343920760544).

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

230015255200 is a wasteful number, since it uses less digits than its factorization.

230015255200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5015 (or 5002 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

Adding to 230015255200 its reverse (2552510032), we get a palindrome (232567765232).

The spelling of 230015255200 in words is "two hundred thirty billion, fifteen million, two hundred fifty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 160 188 200 235 376 400 470 752 800 940 1175 1504 1880 2350 2417 2531 3760 4700 4834 5062 7520 9400 9668 10124 12085 12655 18800 19336 20248 24170 25310 37600 38672 40496 48340 50620 60425 63275 77344 80992 96680 101240 113599 118957 120850 126550 193360 202480 227198 237914 241700 253100 386720 404960 454396 475828 483400 506200 567995 594785 908792 951656 966800 1012400 1135990 1189570 1817584 1903312 1933600 2024800 2271980 2379140 2839975 2973925 3635168 3806624 4543960 4758280 5679950 5947850 6117427 9087920 9516560 11359900 11895700 12234854 18175840 19033120 22719800 23791400 24469708 30587135 45439600 47582800 48939416 61174270 90879200 95165600 97878832 122348540 152935675 195757664 244697080 287519069 305871350 489394160 575038138 611742700 978788320 1150076276 1223485400 1437595345 2300152552 2446970800 2875190690 4600305104 4893941600 5750381380 7187976725 9200610208 11500762760 14375953450 23001525520 28751906900 46003051040 57503813800 115007627600 230015255200