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22400810401 is a prime number
BaseRepresentation
bin10100110111001100…
…010011110110100001
32010211011002001222111
4110313030103312201
5331334101413101
614142451035321
71422053514064
oct246714236641
963734061874
1022400810401
119555745452
124411b9bb41
13215cbb83c8
1411270b68db
158b1902251
hex537313da1

22400810401 has 2 divisors, whose sum is σ = 22400810402. Its totient is φ = 22400810400.

The previous prime is 22400810329. The next prime is 22400810429. The reversal of 22400810401 is 10401800422.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19417029025 + 2983781376 = 139345^2 + 54624^2 .

It is a cyclic number.

It is not a de Polignac number, because 22400810401 - 29 = 22400809889 is a prime.

It is not a weakly prime, because it can be changed into another prime (22400811401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11200405200 + 11200405201.

It is an arithmetic number, because the mean of its divisors is an integer number (11200405201).

Almost surely, 222400810401 is an apocalyptic number.

It is an amenable number.

22400810401 is a deficient number, since it is larger than the sum of its proper divisors (1).

22400810401 is an equidigital number, since it uses as much as digits as its factorization.

22400810401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 512, while the sum is 22.

The spelling of 22400810401 in words is "twenty-two billion, four hundred million, eight hundred ten thousand, four hundred one".