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22214832960 = 2635173673709
BaseRepresentation
bin10100101100000110…
…110111001101000000
32010100012010102220010
4110230012313031000
5330443444123320
614112204544520
71414334651565
oct245406671500
963305112803
1022214832960
11946a76a891
12437b852140
132130500898
14110a50486c
158a0417ae0
hex52c1b7340

22214832960 has 224 divisors, whose sum is σ = 74904721920. Its totient is φ = 5558796288.

The previous prime is 22214832953. The next prime is 22214832961. The reversal of 22214832960 is 6923841222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22214832961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5987586 + ... + 5991294.

It is an arithmetic number, because the mean of its divisors is an integer number (334396080).

Almost surely, 222214832960 is an apocalyptic number.

22214832960 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 22214832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37452360960).

22214832960 is an abundant number, since it is smaller than the sum of its proper divisors (52689888960).

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

22214832960 is a wasteful number, since it uses less digits than its factorization.

22214832960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4113 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 22214832960 in words is "twenty-two billion, two hundred fourteen million, eight hundred thirty-two thousand, nine hundred sixty".