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226064064 = 263731272
BaseRepresentation
bin11010111100101…
…11011011000000
3120202101020121010
431132113123000
5430333022224
634233200520
75413340622
oct1536273300
9522336533
10226064064
11106675306
1263860140
1337ab1925
1422048c12
1514ca6e29
hexd7976c0

226064064 has 84 divisors (see below), whose sum is σ = 611133144. Its totient is φ = 73737216.

The previous prime is 226064023. The next prime is 226064081. The reversal of 226064064 is 460460622.

It is a super-2 number, since 2×2260640642 = 102209922064392192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1779969 + ... + 1780095.

Almost surely, 2226064064 is an apocalyptic number.

226064064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226064064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305566572).

226064064 is an abundant number, since it is smaller than the sum of its proper divisors (385069080).

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

226064064 is an equidigital number, since it uses as much as digits as its factorization.

226064064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 226064064 is about 15035.4269643399. The cubic root of 226064064 is about 609.1774849994.

The spelling of 226064064 in words is "two hundred twenty-six million, sixty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 127 146 192 219 254 292 381 438 508 584 762 876 1016 1168 1524 1752 2032 2336 3048 3504 4064 4672 6096 7008 8128 9271 12192 14016 16129 18542 24384 27813 32258 37084 48387 55626 64516 74168 96774 111252 129032 148336 193548 222504 258064 296672 387096 445008 516128 593344 774192 890016 1032256 1177417 1548384 1780032 2354834 3096768 3532251 4709668 7064502 9419336 14129004 18838672 28258008 37677344 56516016 75354688 113032032 226064064