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22111092053232 = 243713401100912511
BaseRepresentation
bin1010000011100001000111…
…10010011001010011110000
32220021210121000121101101220
411001300203302121103300
510344232004031200412
6115005410115225040
74441321321265040
oct501604362312360
986253530541356
1022111092053232
117055297035766
12259133bba8180
13c450b4372840
1456627ad61720
15285260c7268c
hex141c23c994f0

22111092053232 has 320 divisors, whose sum is σ = 70552737669120. Its totient is φ = 5810724864000.

The previous prime is 22111092053231. The next prime is 22111092053233. The reversal of 22111092053232 is 23235029011122.

It is an interprime number because it is at equal distance from previous prime (22111092053231) and next prime (22111092053233).

It is a junction number, because it is equal to n+sod(n) for n = 22111092053193 and 22111092053202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22111092053231) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1767325857 + ... + 1767338367.

It is an arithmetic number, because the mean of its divisors is an integer number (220477305216).

Almost surely, 222111092053232 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 22111092053232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35276368834560).

22111092053232 is an abundant number, since it is smaller than the sum of its proper divisors (48441645615888).

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

22111092053232 is a wasteful number, since it uses less digits than its factorization.

22111092053232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13952 (or 13946 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 22111092053232 in words is "twenty-two trillion, one hundred eleven billion, ninety-two million, fifty-three thousand, two hundred thirty-two".