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22074267440440 = 23523314119198837
BaseRepresentation
bin1010000010011100100001…
…10111101001010100111000
32220011021112122121020021001
411001032100313221110320
510343131044431043230
6114540440052054344
74435545632243635
oct501162067512470
986137478536231
1022074267440440
11704070a54a076
1225861836043b4
13c41796121c27
145645863b318c
15284307e260ca
hex141390de9538

22074267440440 has 256 divisors, whose sum is σ = 55090688163840. Its totient is φ = 7932182016000.

The previous prime is 22074267440437. The next prime is 22074267440447. The reversal of 22074267440440 is 4404476247022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22074267440447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 223290702 + ... + 223389538.

It is an arithmetic number, because the mean of its divisors is an integer number (215198000640).

Almost surely, 222074267440440 is an apocalyptic number.

22074267440440 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 22074267440440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27545344081920).

22074267440440 is an abundant number, since it is smaller than the sum of its proper divisors (33016420723400).

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

22074267440440 is a wasteful number, since it uses less digits than its factorization.

22074267440440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99134 (or 99130 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 46.

The spelling of 22074267440440 in words is "twenty-two trillion, seventy-four billion, two hundred sixty-seven million, four hundred forty thousand, four hundred forty".