Search a number
-
+
221422052622056 = 2311132931109218121
BaseRepresentation
bin110010010110000111010110…
…110010101011111011101000
31002000222202000112222122001212
4302112013112302223323220
5213010234330432401211
62102531515310332252
764432133610233306
oct6226072662537350
91060882015878055
10221422052622056
1164608624275a60
1220a010b14ba088
139672018b94470
143c96c55209276
151a8ea6810a38b
hexc961d6cabee8

221422052622056 has 384 divisors, whose sum is σ = 525694342118400. Its totient is φ = 86006043648000.

The previous prime is 221422052622047. The next prime is 221422052622091. The reversal of 221422052622056 is 650226250224122.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12219076676 + ... + 12219094796.

It is an arithmetic number, because the mean of its divisors is an integer number (1368995682600).

Almost surely, 2221422052622056 is an apocalyptic number.

221422052622056 is a gapful number since it is divisible by the number (26) 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 221422052622056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262847171059200).

221422052622056 is an abundant number, since it is smaller than the sum of its proper divisors (304272289496344).

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

221422052622056 is a wasteful number, since it uses less digits than its factorization.

221422052622056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18429 (or 18316 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 41.

The spelling of 221422052622056 in words is "two hundred twenty-one trillion, four hundred twenty-two billion, fifty-two million, six hundred twenty-two thousand, fifty-six".