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228755553827670 = 2325193531066735527
BaseRepresentation
bin110100000000110101001101…
…100001101011101101010110
31002222221211001212022012202100
4310000311031201223231112
5214440412333234441140
62130304503424222530
766120020606045442
oct6400651541535526
91088854055265670
10228755553827670
116698575a544191
12217a643816aa46
139a8472cb82a7c
14406bb839c1822
151b6a6cc18b530
hexd00d4d86bb56

228755553827670 has 192 divisors, whose sum is σ = 627917926970880. Its totient is φ = 57620138932224.

The previous prime is 228755553827629. The next prime is 228755553827741. The reversal of 228755553827670 is 76728355557822.

228755553827670 is a `hidden beast` number, since 2 + 2 + 8 + 7 + 5 + 5 + 5 + 538 + 27 + 67 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6438903447 + ... + 6438938973.

It is an arithmetic number, because the mean of its divisors is an integer number (3270405869640).

Almost surely, 2228755553827670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228755553827670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313958963485440).

228755553827670 is an abundant number, since it is smaller than the sum of its proper divisors (399162373143210).

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

228755553827670 is a wasteful number, since it uses less digits than its factorization.

228755553827670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46579 (or 46576 counting only the distinct ones).

The product of its (nonzero) digits is 1975680000, while the sum is 72.

The spelling of 228755553827670 in words is "two hundred twenty-eight trillion, seven hundred fifty-five billion, five hundred fifty-three million, eight hundred twenty-seven thousand, six hundred seventy".