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230422430430 = 23351432759567
BaseRepresentation
bin1101011010011000111…
…1110100001011011110
3211000202112110021111000
43112212033310023132
512233401120233210
6253504332211130
722435040225313
oct3264617641336
9730675407430
10230422430430
11897a3500495
12387a8009aa6
131896207a2ba
14b21c68cd0a
155ed91e2ac0
hex35a63f42de

230422430430 has 64 divisors (see below), whose sum is σ = 614513018880. Its totient is φ = 61440661152.

The previous prime is 230422430423. The next prime is 230422430461. The reversal of 230422430430 is 34034224032.

230422430430 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 224 + 3 + 0 + 430 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 230422430394 and 230422430403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3838507 + ... + 3898073.

It is an arithmetic number, because the mean of its divisors is an integer number (9601765920).

Almost surely, 2230422430430 is an apocalyptic number.

230422430430 is an abundant number, since it is smaller than the sum of its proper divisors (384090588450).

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

230422430430 is a wasteful number, since it uses less digits than its factorization.

230422430430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73910 (or 73904 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 230422430430 its reverse (34034224032), we get a palindrome (264456654462).

The spelling of 230422430430 in words is "two hundred thirty billion, four hundred twenty-two million, four hundred thirty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 14327 28654 42981 59567 71635 85962 119134 128943 143270 178701 214905 257886 297835 357402 386829 429810 536103 595670 644715 773658 893505 1072206 1289430 1608309 1787010 1934145 2680515 3216618 3868290 5361030 8041545 16083090 853416409 1706832818 2560249227 4267082045 5120498454 7680747681 8534164090 12801246135 15361495362 23042243043 25602492270 38403738405 46084486086 76807476810 115211215215 230422430430