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230351654430 = 2325313761157233
BaseRepresentation
bin1101011010001000000…
…1110100111000011110
3211000120121021111001200
43112202001310320132
512233230010420210
6253453323220330
722433220520302
oct3264201647036
9730517244050
10230351654430
118976755a427
12387883776a6
13189504c9501
14b213107d02
155ed2db20c0
hex35a2074e1e

230351654430 has 384 divisors, whose sum is σ = 652249967616. Its totient is φ = 56285798400.

The previous prime is 230351654381. The next prime is 230351654431. The reversal of 230351654430 is 34456153032.

230351654430 is a `hidden beast` number, since 2 + 30 + 3 + 51 + 6 + 544 + 30 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230351654431) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 988633594 + ... + 988633826.

It is an arithmetic number, because the mean of its divisors is an integer number (1698567624).

Almost surely, 2230351654430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230351654430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326124983808).

230351654430 is an abundant number, since it is smaller than the sum of its proper divisors (421898313186).

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

230351654430 is a wasteful number, since it uses less digits than its factorization.

230351654430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 230351654430 in words is "two hundred thirty billion, three hundred fifty-one million, six hundred fifty-four thousand, four hundred thirty".