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230621600 = 25521173359
BaseRepresentation
bin11011011111100…
…00000110100000
3121001221210100202
431233300012200
5433014342400
634515004332
75500152116
oct1557600640
9531853322
10230621600
111091a8470
12652996a8
1338a191b1
14228b3ab6
15153a74d5
hexdbf01a0

230621600 has 144 divisors (see below), whose sum is σ = 624335040. Its totient is φ = 82483200.

The previous prime is 230621581. The next prime is 230621627. The reversal of 230621600 is 6126032.

230621600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 642221 + ... + 642579.

It is an arithmetic number, because the mean of its divisors is an integer number (4335660).

Almost surely, 2230621600 is an apocalyptic number.

230621600 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 230621600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312167520).

230621600 is an abundant number, since it is smaller than the sum of its proper divisors (393713440).

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

230621600 is a wasteful number, since it uses less digits than its factorization.

230621600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 230621600 is about 15186.2306053872. The cubic root of 230621600 is about 613.2440271146.

Adding to 230621600 its reverse (6126032), we get a palindrome (236747632).

The spelling of 230621600 in words is "two hundred thirty million, six hundred twenty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 73 80 88 100 110 146 160 176 200 220 275 292 352 359 365 400 440 550 584 718 730 800 803 880 1100 1168 1436 1460 1606 1760 1795 1825 2200 2336 2872 2920 3212 3590 3650 3949 4015 4400 5744 5840 6424 7180 7300 7898 8030 8800 8975 11488 11680 12848 14360 14600 15796 16060 17950 19745 20075 25696 26207 28720 29200 31592 32120 35900 39490 40150 52414 57440 58400 63184 64240 71800 78980 80300 98725 104828 126368 128480 131035 143600 157960 160600 197450 209656 262070 287200 288277 315920 321200 394900 419312 524140 576554 631840 642400 655175 789800 838624 1048280 1153108 1310350 1441385 1579600 2096560 2306216 2620700 2882770 3159200 4193120 4612432 5241400 5765540 7206925 9224864 10482800 11531080 14413850 20965600 23062160 28827700 46124320 57655400 115310800 230621600