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22251105201 = 3131997873643
BaseRepresentation
bin10100101110010001…
…001110101110110001
32010102201101021001110
4110232101032232301
5331032240331301
614115542223533
71415255162553
oct245621165661
963381337043
1022251105201
119489194746
12438ba24ba9
132137b90750
1411112674d3
158a36d00d6
hex52e44ebb1

22251105201 has 32 divisors (see below), whose sum is σ = 32160486400. Its totient is φ = 13603132224.

The previous prime is 22251105187. The next prime is 22251105241. The reversal of 22251105201 is 10250115222.

It is not a de Polignac number, because 22251105201 - 223 = 22242716593 is a prime.

It is a super-2 number, since 2×222511052012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22251105241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6106086 + ... + 6109728.

It is an arithmetic number, because the mean of its divisors is an integer number (1005015200).

Almost surely, 222251105201 is an apocalyptic number.

It is an amenable number.

22251105201 is a deficient number, since it is larger than the sum of its proper divisors (9909381199).

22251105201 is a wasteful number, since it uses less digits than its factorization.

22251105201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4645.

The product of its (nonzero) digits is 400, while the sum is 21.

The spelling of 22251105201 in words is "twenty-two billion, two hundred fifty-one million, one hundred five thousand, two hundred one".

Divisors: 1 3 13 39 199 597 787 2361 2587 3643 7761 10231 10929 30693 47359 142077 156613 469839 724957 2035969 2174871 2867041 6107907 8601123 9424441 28273323 37271533 111814599 570541159 1711623477 7417035067 22251105201