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226302968064 = 283319505333
BaseRepresentation
bin1101001011000010110…
…1010100000100000000
3210122010102221220110210
43102300231110010000
512201432024434224
6251543453554120
722230666330045
oct3226055240400
9718112856423
10226302968064
1187a7a142438
1237a384a5940
131845678c5c4
14ad4b51d1cc
155d47721429
hex34b0b54100

226302968064 has 72 divisors (see below), whose sum is σ = 621724886272. Its totient is φ = 73000949760.

The previous prime is 226302968053. The next prime is 226302968077. The reversal of 226302968064 is 460869203622.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4728859 + ... + 4776474.

Almost surely, 2226302968064 is an apocalyptic number.

226302968064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

226302968064 is an abundant number, since it is smaller than the sum of its proper divisors (395421918208).

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

226302968064 is an equidigital number, since it uses as much as digits as its factorization.

226302968064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9505383 (or 9505369 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 226302968064 in words is "two hundred twenty-six billion, three hundred two million, nine hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1488 1984 2976 3968 5952 7936 11904 23808 9505333 19010666 28515999 38021332 57031998 76042664 114063996 152085328 228127992 294665323 304170656 456255984 589330646 608341312 883995969 912511968 1178661292 1216682624 1767991938 1825023936 2357322584 2433365248 3535983876 3650047872 4714645168 7071967752 7300095744 9429290336 14143935504 18858580672 28287871008 37717161344 56575742016 75434322688 113151484032 226302968064