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230131237374 = 23310354775641
BaseRepresentation
bin1101011001010011100…
…1000000000111111110
3211000000020112010201000
43112110321000013332
512232302044043444
6253415411031130
722424603146053
oct3262471000776
9730006463630
10230131237374
11896640a1875
123872659b4a6
131891694400c
14b1d1b2d02a
155ebd873469
hex3594e401fe

230131237374 has 64 divisors (see below), whose sum is σ = 517318663680. Its totient is φ = 75825771840.

The previous prime is 230131237367. The next prime is 230131237381. The reversal of 230131237374 is 473732131032.

230131237374 is a `hidden beast` number, since 2 + 301 + 312 + 3 + 7 + 37 + 4 = 666.

230131237374 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230131237367) and next prime (230131237381).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3004594 + ... + 3080234.

It is an arithmetic number, because the mean of its divisors is an integer number (8083104120).

Almost surely, 2230131237374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230131237374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258659331840).

230131237374 is an abundant number, since it is smaller than the sum of its proper divisors (287187426306).

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

230131237374 is a wasteful number, since it uses less digits than its factorization.

230131237374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76302 (or 76296 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The spelling of 230131237374 in words is "two hundred thirty billion, one hundred thirty-one million, two hundred thirty-seven thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 103 206 309 547 618 927 1094 1641 1854 2781 3282 4923 5562 9846 14769 29538 56341 75641 112682 151282 169023 226923 338046 453846 507069 680769 1014138 1361538 1521207 2042307 3042414 4084614 7791023 15582046 23373069 41375627 46746138 70119207 82751254 124126881 140238414 210357621 248253762 372380643 420715242 744761286 1117141929 2234283858 4261689581 8523379162 12785068743 25570137486 38355206229 76710412458 115065618687 230131237374