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22212830880 = 253452118123
BaseRepresentation
bin10100101011111111…
…001110011010100000
32010100001100201120000
4110223333032122200
5330442441042010
614112054020000
71414311642612
oct245377163240
963301321500
1022212830880
119469622679
12437b047600
13212cc7c516
14110a142db2
158a016e7c0
hex52bfce6a0

22212830880 has 240 divisors, whose sum is σ = 78774008544. Its totient is φ = 5894622720.

The previous prime is 22212830839. The next prime is 22212830891. The reversal of 22212830880 is 8803821222.

22212830880 is a `hidden beast` number, since 222 + 128 + 308 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2730499 + ... + 2738621.

Almost surely, 222212830880 is an apocalyptic number.

22212830880 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 22212830880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39387004272).

22212830880 is an abundant number, since it is smaller than the sum of its proper divisors (56561177664).

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

22212830880 is a wasteful number, since it uses less digits than its factorization.

22212830880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8361 (or 8344 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 22212830880 in words is "twenty-two billion, two hundred twelve million, eight hundred thirty thousand, eight hundred eighty".