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230386252416 = 2732292619931
BaseRepresentation
bin1101011010010000010…
…1110011101010000000
3211000200000101020120120
43112210011303222000
512233312340034131
6253501000540240
722434120556125
oct3264405635200
9730600336516
10230386252416
1189785040401
1238797a81680
13189577212a8
14b21795274c
155ed5e48496
hex35a4173a80

230386252416 has 64 divisors (see below), whose sum is σ = 614636047200. Its totient is φ = 76460037120.

The previous prime is 230386252357. The next prime is 230386252417. The reversal of 230386252416 is 614252683032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (230386252417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1222030 + ... + 1397901.

Almost surely, 2230386252416 is an apocalyptic number.

It is an amenable number.

230386252416 is an abundant number, since it is smaller than the sum of its proper divisors (384249794784).

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

230386252416 is a wasteful number, since it uses less digits than its factorization.

230386252416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620177 (or 2620165 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 230386252416 in words is "two hundred thirty billion, three hundred eighty-six million, two hundred fifty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 229 384 458 687 916 1374 1832 2748 3664 5496 7328 10992 14656 21984 29312 43968 87936 2619931 5239862 7859793 10479724 15719586 20959448 31439172 41918896 62878344 83837792 125756688 167675584 251513376 335351168 503026752 599964199 1006053504 1199928398 1799892597 2399856796 3599785194 4799713592 7199570388 9599427184 14399140776 19198854368 28798281552 38397708736 57596563104 76795417472 115193126208 230386252416