Search a number
-
+
22105251251 = 313737935081
BaseRepresentation
bin10100100101100100…
…110101110110110011
32010001112221010001022
4110211210311312303
5330232421020001
614053252130055
71411534351436
oct244544656663
963045833038
1022105251251
119413924496
12434b00692b
1321138b3a35
1410d9b3b81d
158959be11b
hex525935db3

22105251251 has 16 divisors (see below), whose sum is σ = 23445827328. Its totient is φ = 20804428800.

The previous prime is 22105251239. The next prime is 22105251269. The reversal of 22105251251 is 15215250122.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 22105251251 - 210 = 22105250227 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22105251251.

It is not an unprimeable number, because it can be changed into a prime (22105251211) 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 15 ways as a sum of consecutive naturals, for example, 4348031 + ... + 4353111.

It is an arithmetic number, because the mean of its divisors is an integer number (1465364208).

Almost surely, 222105251251 is an apocalyptic number.

22105251251 is a deficient number, since it is larger than the sum of its proper divisors (1340576077).

22105251251 is a wasteful number, since it uses less digits than its factorization.

22105251251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8942.

The product of its (nonzero) digits is 2000, while the sum is 26.

The spelling of 22105251251 in words is "twenty-two billion, one hundred five million, two hundred fifty-one thousand, two hundred fifty-one".

Divisors: 1 31 37 1147 3793 5081 117583 140341 157511 187997 4350571 5827907 19272233 597439223 713072621 22105251251