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221422047032160 = 253251398171204859
BaseRepresentation
bin110010010110000111010110…
…011101010111001101100000
31002000222202000011110122011200
4302112013112131113031200
5213010234323020012120
62102531514550441200
764432133511562242
oct6226072635271540
91060882004418150
10221422047032160
11646086210a8207
1220a010ab663200
139672017988030
143c96c54592092
151a8ea678a3e90
hexc961d6757360

221422047032160 has 288 divisors, whose sum is σ = 813809587762080. Its totient is φ = 54498291277824.

The previous prime is 221422047032089. The next prime is 221422047032171. The reversal of 221422047032160 is 61230740224122.

221422047032160 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 2 + 20 + 470 + 3 + 2 + 160 = 666.

221422047032160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 183171811 + ... + 184376669.

It is an arithmetic number, because the mean of its divisors is an integer number (2825727735285).

Almost surely, 2221422047032160 is an apocalyptic number.

221422047032160 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 221422047032160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406904793881040).

221422047032160 is an abundant number, since it is smaller than the sum of its proper divisors (592387540729920).

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

221422047032160 is a wasteful number, since it uses less digits than its factorization.

221422047032160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214710 (or 1214699 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 221422047032160 its reverse (61230740224122), we get a palindrome (282652787256282).

The spelling of 221422047032160 in words is "two hundred twenty-one trillion, four hundred twenty-two billion, forty-seven million, thirty-two thousand, one hundred sixty".