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222020413128 = 23331027872283
BaseRepresentation
bin1100111011000101110…
…0101010011011001000
3210020001222120120112000
43032301130222123020
512114144211210003
6245554511551000
722016605242123
oct3166134523310
9706058516460
10222020413128
118618180a538
123704222b460
1317c2346a627
14aa628573ba
155b967861a3
hex33b172a6c8

222020413128 has 32 divisors (see below), whose sum is σ = 616723370400. Its totient is φ = 74006804304.

The previous prime is 222020413061. The next prime is 222020413129. The reversal of 222020413128 is 821314020222.

222020413128 is a `hidden beast` number, since 2 + 220 + 2 + 0 + 413 + 1 + 28 = 666.

222020413128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (222020413129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 513935926 + ... + 513936357.

It is an arithmetic number, because the mean of its divisors is an integer number (19272605325).

Almost surely, 2222020413128 is an apocalyptic number.

It is an amenable number.

222020413128 is an abundant number, since it is smaller than the sum of its proper divisors (394702957272).

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

222020413128 is a wasteful number, since it uses less digits than its factorization.

222020413128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027872298 (or 1027872288 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 222020413128 in words is "two hundred twenty-two billion, twenty million, four hundred thirteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1027872283 2055744566 3083616849 4111489132 6167233698 8222978264 9250850547 12334467396 18501701094 24668934792 27752551641 37003402188 55505103282 74006804376 111010206564 222020413128