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227777630040 = 233351767185167
BaseRepresentation
bin1101010000100010011…
…0101100111101011000
3210202221012210111102000
43110020212230331120
512212442033130130
6252350053041000
722312353624102
oct3241046547530
9722835714360
10227777630040
1188666596844
123818a326160
131863014c85c
14b04b308572
155dd1e13260
hex35089acf58

227777630040 has 256 divisors, whose sum is σ = 815924275200. Its totient is φ = 56314165248.

The previous prime is 227777630029. The next prime is 227777630053. The reversal of 227777630040 is 40036777722.

227777630040 is a `hidden beast` number, since 2 + 2 + 7 + 7 + 7 + 7 + 630 + 0 + 4 + 0 = 666.

227777630040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2277776300402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1137537 + ... + 1322703.

It is an arithmetic number, because the mean of its divisors is an integer number (3187204200).

Almost surely, 2227777630040 is an apocalyptic number.

227777630040 is a gapful number since it is divisible by the number (20) 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 227777630040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407962137600).

227777630040 is an abundant number, since it is smaller than the sum of its proper divisors (588146645160).

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

227777630040 is a wasteful number, since it uses less digits than its factorization.

227777630040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185271 (or 185261 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 45.

The spelling of 227777630040 in words is "two hundred twenty-seven billion, seven hundred seventy-seven million, six hundred thirty thousand, forty".