Search a number
-
+
222212290023360 = 26335713219260223
BaseRepresentation
bin110010100001100111010100…
…100111001000111111000000
31002010210021202120001222022000
4302201213110213020333000
5213111211232221221420
62104334530004344000
764543210461303420
oct6241472447107700
91063707676058260
10222212290023360
116489278072386a
1220b0a2923a5000
1396cb6b53a4700
143cc31bcb68480
151aa53b92d5690
hexca19d49c8fc0

222212290023360 has 2016 divisors, whose sum is σ = 1023883660615680. Its totient is φ = 44416016326656.

The previous prime is 222212290023343. The next prime is 222212290023371. The reversal of 222212290023360 is 63320092212222.

222212290023360 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 1 + 2 + 290 + 0 + 2 + 3 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3689794209 + ... + 3689854431.

Almost surely, 2222212290023360 is an apocalyptic number.

222212290023360 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 222212290023360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511941830307840).

222212290023360 is an abundant number, since it is smaller than the sum of its proper divisors (801671370592320).

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

222212290023360 is a wasteful number, since it uses less digits than its factorization.

222212290023360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60320 (or 60272 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 222212290023360 in words is "two hundred twenty-two trillion, two hundred twelve billion, two hundred ninety million, twenty-three thousand, three hundred sixty".