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22988422111104 = 2735193110211229
BaseRepresentation
bin1010011101000011010001…
…01110111101111110000000
310000101200010122220002100000
411032201220232331332000
511003120242030023404
6120520422455200000
74561600346604612
oct516415056757600
9100350118802300
1022988422111104
117363375a7a49a
1226b3388076000
13ca9a502629b8
14596907614db2
1529ceace39339
hex14e868bbdf80

22988422111104 has 768 divisors, whose sum is σ = 74675397888000. Its totient is φ = 7012732723200.

The previous prime is 22988422111087. The next prime is 22988422111147. The reversal of 22988422111104 is 40111122488922.

22988422111104 is a `hidden beast` number, since 2 + 2 + 9 + 8 + 8 + 422 + 111 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 22988422111104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18704980762 + ... + 18704981990.

It is an arithmetic number, because the mean of its divisors is an integer number (97233591000).

Almost surely, 222988422111104 is an apocalyptic number.

22988422111104 is a gapful number since it is divisible by the number (24) 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 22988422111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37337698944000).

22988422111104 is an abundant number, since it is smaller than the sum of its proper divisors (51686975776896).

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

22988422111104 is a wasteful number, since it uses less digits than its factorization.

22988422111104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 22988422111104 in words is "twenty-two trillion, nine hundred eighty-eight billion, four hundred twenty-two million, one hundred eleven thousand, one hundred four".