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226155732176064 = 2631177894438417
BaseRepresentation
bin110011011010111111111100…
…000101001000110011000000
31002122202021110211012100022010
4303122333330011020303000
5214120313414414113224
62120554301543412520
765431132604451465
oct6332777405106300
91078667424170263
10226155732176064
116607311aa44679
12214465b5154140
1399265179073c2
143dbbdd283566c
151b22c69d1ee29
hexcdaffc148cc0

226155732176064 has 28 divisors (see below), whose sum is σ = 598370374716344. Its totient is φ = 75385244058624.

The previous prime is 226155732176029. The next prime is 226155732176137. The reversal of 226155732176064 is 460671237551622.

226155732176064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2261557321760642 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 226155732175995 and 226155732176013.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 588947219017 + ... + 588947219400.

Almost surely, 2226155732176064 is an apocalyptic number.

226155732176064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

226155732176064 is an abundant number, since it is smaller than the sum of its proper divisors (372214642540280).

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

226155732176064 is a wasteful number, since it uses less digits than its factorization.

226155732176064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177894438432 (or 1177894438422 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 57.

The spelling of 226155732176064 in words is "two hundred twenty-six trillion, one hundred fifty-five billion, seven hundred thirty-two million, one hundred seventy-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1177894438417 2355788876834 3533683315251 4711577753668 7067366630502 9423155507336 14134733261004 18846311014672 28269466522008 37692622029344 56538933044016 75385244058688 113077866088032 226155732176064