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234257468300 = 22524354478481
BaseRepresentation
bin1101101000101011010…
…1010100101110001100
3211101122210202101102122
43122022311110232030
512314224402441200
6255341050312112
722632055424612
oct3321265245614
9741583671378
10234257468300
1190391263179
1239498428638
131912376178b
14b4a3b416b2
156160c30385
hex368ad54b8c

234257468300 has 36 divisors (see below), whose sum is σ = 520160546136. Its totient is φ = 91523846400.

The previous prime is 234257468287. The next prime is 234257468317. The reversal of 234257468300 is 3864752432.

234257468300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2342574683002 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27234941 + ... + 27243540.

Almost surely, 2234257468300 is an apocalyptic number.

234257468300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234257468300 is an abundant number, since it is smaller than the sum of its proper divisors (285903077836).

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

234257468300 is a wasteful number, since it uses less digits than its factorization.

234257468300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54478538 (or 54478531 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 44.

The spelling of 234257468300 in words is "two hundred thirty-four billion, two hundred fifty-seven million, four hundred sixty-eight thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 1075 2150 4300 54478481 108956962 217913924 272392405 544784810 1089569620 1361962025 2342574683 2723924050 4685149366 5447848100 9370298732 11712873415 23425746830 46851493660 58564367075 117128734150 234257468300