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222120323028 = 22326170008973
BaseRepresentation
bin1100111011011101100…
…1110010011111010100
3210020022221120112010200
43032313121302133110
512114400300314103
6250012441220500
722022230410462
oct3166731623724
9706287515120
10222120323028
118622314a2aa
123706b791730
1317c3b07c106
14aa71c23832
155ba041e0a3
hex33b76727d4

222120323028 has 18 divisors (see below), whose sum is σ = 561470816634. Its totient is φ = 74040107664.

The previous prime is 222120322999. The next prime is 222120323057. The reversal of 222120323028 is 820323021222.

222120323028 is a `hidden beast` number, since 2 + 221 + 203 + 230 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (222120322999) and next prime (222120323057).

It can be written as a sum of positive squares in only one way, i.e., 216794534544 + 5325788484 = 465612^2 + 72978^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 222120322992 and 222120323010.

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 5 ways as a sum of consecutive naturals, for example, 3085004451 + ... + 3085004522.

Almost surely, 2222120323028 is an apocalyptic number.

It is an amenable number.

222120323028 is an abundant number, since it is smaller than the sum of its proper divisors (339350493606).

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

222120323028 is a wasteful number, since it uses less digits than its factorization.

222120323028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6170008983 (or 6170008978 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 222120323028 in words is "two hundred twenty-two billion, one hundred twenty million, three hundred twenty-three thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 6170008973 12340017946 18510026919 24680035892 37020053838 55530080757 74040107676 111060161514 222120323028