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22214983680 = 214325291039
BaseRepresentation
bin10100101100000111…
…011100000000000000
32010100012102002122100
4110230013130000000
5330444013434210
614112212110400
71414336150161
oct245407340000
963305362570
1022214983680
11946a86304a
12437b905400
132130554376
14110a543768
158a04475c0
hex52c1dc000

22214983680 has 360 divisors, whose sum is σ = 79741771200. Its totient is φ = 5714214912.

The previous prime is 22214983667. The next prime is 22214983691. The reversal of 22214983680 is 8638941222.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21380601 + ... + 21381639.

It is an arithmetic number, because the mean of its divisors is an integer number (221504920).

Almost surely, 222214983680 is an apocalyptic number.

22214983680 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 22214983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39870885600).

22214983680 is an abundant number, since it is smaller than the sum of its proper divisors (57526787520).

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

22214983680 is a wasteful number, since it uses less digits than its factorization.

22214983680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 22214983680 in words is "twenty-two billion, two hundred fourteen million, nine hundred eighty-three thousand, six hundred eighty".