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22242064992 = 2537237571901
BaseRepresentation
bin10100101101101110…
…101111101001100000
32010102002100222012220
4110231232233221200
5331022432034432
614115020351040
71415115301350
oct245556575140
963362328186
1022242064992
11948407a6a4
1243889a5480
132136046a04
14110dd92b60
158a29e672c
hex52dbafa60

22242064992 has 192 divisors, whose sum is σ = 69755986944. Its totient is φ = 6067353600.

The previous prime is 22242064939. The next prime is 22242065023. The reversal of 22242064992 is 29946024222.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 11699242 + ... + 11701142.

It is an arithmetic number, because the mean of its divisors is an integer number (363312432).

Almost surely, 222242064992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22242064992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34877993472).

22242064992 is an abundant number, since it is smaller than the sum of its proper divisors (47513921952).

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

22242064992 is a wasteful number, since it uses less digits than its factorization.

22242064992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 22242064992 in words is "twenty-two billion, two hundred forty-two million, sixty-four thousand, nine hundred ninety-two".