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22414100401 = 71115119110093
BaseRepresentation
bin10100110111111111…
…000000011110110001
32010212002002021102201
4110313333000132301
5331401002203101
614144043543201
71422304465330
oct246777003661
963762067381
1022414100401
1195621a2420
12441652ab01
13216288c604
141128b75d17
158b2b79e01
hex537fc07b1

22414100401 has 32 divisors (see below), whose sum is σ = 28279996416. Its totient is φ = 17257320000.

The previous prime is 22414100353. The next prime is 22414100437. The reversal of 22414100401 is 10400141422.

It is a cyclic number.

It is not a de Polignac number, because 22414100401 - 27 = 22414100273 is a prime.

It is a super-2 number, since 2×224141004012 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22414103401) 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, 2215711 + ... + 2225803.

It is an arithmetic number, because the mean of its divisors is an integer number (883749888).

Almost surely, 222414100401 is an apocalyptic number.

It is an amenable number.

22414100401 is a deficient number, since it is larger than the sum of its proper divisors (5865896015).

22414100401 is a wasteful number, since it uses less digits than its factorization.

22414100401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10453.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 22414100401 its reverse (10400141422), we get a palindrome (32814241823).

The spelling of 22414100401 in words is "twenty-two billion, four hundred fourteen million, one hundred thousand, four hundred one".

Divisors: 1 7 11 77 151 191 1057 1337 1661 2101 10093 11627 14707 28841 70651 111023 201887 317251 777161 1524043 1927763 2220757 10668301 13494341 16764473 21205393 117351311 148437751 291092213 2037645491 3202014343 22414100401