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230164352 = 2711163469
BaseRepresentation
bin11011011100000…
…00011110000000
3121001002120010122
431232000132000
5432410224402
634501115412
75463236045
oct1556003600
9531076118
10230164352
11108a15980
12650b8b68
13388b9032
14227d51cc
1515316ca2
hexdb80780

230164352 has 32 divisors (see below), whose sum is σ = 500218200. Its totient is φ = 104619520.

The previous prime is 230164339. The next prime is 230164379. The reversal of 230164352 is 253461032.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80327 + ... + 83142.

Almost surely, 2230164352 is an apocalyptic number.

230164352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

230164352 is an abundant number, since it is smaller than the sum of its proper divisors (270053848).

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

230164352 is a wasteful number, since it uses less digits than its factorization.

230164352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163494 (or 163482 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 230164352 is about 15171.1684454428. The cubic root of 230164352 is about 612.8384708173.

The spelling of 230164352 in words is "two hundred thirty million, one hundred sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 163469 326938 653876 1307752 1798159 2615504 3596318 5231008 7192636 10462016 14385272 20924032 28770544 57541088 115082176 230164352