Search a number
-
+
222922864255680 = 26335311795937841
BaseRepresentation
bin110010101011111101000110…
…001000101110001011000000
31002020022012212200212000211000
4302223331012020232023000
5213204332011222140210
62110041203340252000
764645434250520541
oct6253750610561300
91066265780760730
10222922864255680
1165037068315736
1221003b40241000
1397506c74a4c44
143d0974a58c4c8
151ab8b06878ac0
hexcabf4622e2c0

222922864255680 has 896 divisors, whose sum is σ = 817806821990400. Its totient is φ = 57103338700800.

The previous prime is 222922864255673. The next prime is 222922864255691. The reversal of 222922864255680 is 86552468229222.

222922864255680 is a `hidden beast` number, since 2 + 2 + 2 + 9 + 2 + 2 + 8 + 64 + 2 + 5 + 568 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28430408560 + ... + 28430416400.

Almost surely, 2222922864255680 is an apocalyptic number.

222922864255680 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 222922864255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408903410995200).

222922864255680 is an abundant number, since it is smaller than the sum of its proper divisors (594883957734720).

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

222922864255680 is a wasteful number, since it uses less digits than its factorization.

222922864255680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8670 (or 8654 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 63.

The spelling of 222922864255680 in words is "two hundred twenty-two trillion, nine hundred twenty-two billion, eight hundred sixty-four million, two hundred fifty-five thousand, six hundred eighty".