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36227056320 = 263257413231
BaseRepresentation
bin100001101111010011…
…010000001011000000
310110111201121010202200
4201233103100023000
51043143111300240
624350435313200
72421511620000
oct415723201300
9113451533680
1036227056320
1114400257674
12703044b800
1335544cc300
141a79480000
15e20662930
hex86f4d02c0

36227056320 has 1260 divisors, whose sum is σ = 162484710336. Its totient is φ = 7396945920.

The previous prime is 36227056301. The next prime is 36227056343. The reversal of 36227056320 is 2365072263.

It is a happy number.

36227056320 is a `hidden beast` number, since 3 + 6 + 2 + 2 + 70 + 563 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a super-2 number, since 2×362270563202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1168614705 + ... + 1168614735.

Almost surely, 236227056320 is an apocalyptic number.

36227056320 is a gapful number since it is divisible by the number (30) 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 36227056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81242355168).

36227056320 is an abundant number, since it is smaller than the sum of its proper divisors (126257654016).

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

36227056320 is a wasteful number, since it uses less digits than its factorization.

36227056320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

It can be divided in two parts, 3622705 and 6320, that added together give a square (3629025 = 19052).

The spelling of 36227056320 in words is "thirty-six billion, two hundred twenty-seven million, fifty-six thousand, three hundred twenty".