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22082706324 = 2234731091823
BaseRepresentation
bin10100100100001110…
…110101101110010100
32002222222111201020000
4110210032311232110
5330211133100244
614051125011300
71411141623000
oct244416655624
962888451200
1022082706324
119402126118
124343553b30
13210c01c143
1410d6b4d700
15893a19169
hex5243b5b94

22082706324 has 240 divisors, whose sum is σ = 67976832000. Its totient is φ = 6248031552.

The previous prime is 22082706307. The next prime is 22082706389. The reversal of 22082706324 is 42360728022.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12112477 + ... + 12114299.

It is an arithmetic number, because the mean of its divisors is an integer number (283236800).

Almost surely, 222082706324 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 22082706324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33988416000).

22082706324 is an abundant number, since it is smaller than the sum of its proper divisors (45894125676).

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

22082706324 is a wasteful number, since it uses less digits than its factorization.

22082706324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1944 counting only the distinct ones).

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

The spelling of 22082706324 in words is "twenty-two billion, eighty-two million, seven hundred six thousand, three hundred twenty-four".