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226696064 = 2775032
BaseRepresentation
bin11011000001100…
…01101110000000
3120210120100112112
431200301232000
5431013233224
634254514452
75421612320
oct1540615600
9523510475
10226696064
11106a67121
1263b05a28
1337c734aa
1422171280
1514d7e30e
hexd831b80

226696064 has 48 divisors (see below), whose sum is σ = 517166520. Its totient is φ = 96962304.

The previous prime is 226696061. The next prime is 226696111. The reversal of 226696064 is 460696622.

It is a super-2 number, since 2×2266960642 = 102782210866184192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226696061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 450437 + ... + 450939.

Almost surely, 2226696064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226696064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258583260).

226696064 is an abundant number, since it is smaller than the sum of its proper divisors (290470456).

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

226696064 is an frugal number, since it uses more digits than its factorization.

226696064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 41.

The square root of 226696064 is about 15056.4293243783. The cubic root of 226696064 is about 609.7446427369.

The spelling of 226696064 in words is "two hundred twenty-six million, six hundred ninety-six thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 503 896 1006 2012 3521 4024 7042 8048 14084 16096 28168 32192 56336 64384 112672 225344 253009 450688 506018 1012036 1771063 2024072 3542126 4048144 7084252 8096288 14168504 16192576 28337008 32385152 56674016 113348032 226696064