Search a number
-
+
22244428242 = 23223223724019
BaseRepresentation
bin10100101101110111…
…110000100111010010
32010102020211000222200
4110231313300213102
5331024033200432
614115143144030
71415144343321
oct245567604722
963366730880
1022244428242
1194854441a3
124389745016
13213669359a
14111040a0b8
158a2d11a7c
hex52ddf09d2

22244428242 has 48 divisors (see below), whose sum is σ = 50316327360. Its totient is φ = 7088960736.

The previous prime is 22244428187. The next prime is 22244428249. The reversal of 22244428242 is 24282444222.

22244428242 is a `hidden beast` number, since 2 + 224 + 4 + 428 + 2 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22244428197 and 22244428206.

It is not an unprimeable number, because it can be changed into a prime (22244428249) 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 23 ways as a sum of consecutive naturals, for example, 914109 + ... + 938127.

It is an arithmetic number, because the mean of its divisors is an integer number (1048256820).

Almost surely, 222244428242 is an apocalyptic number.

22244428242 is an abundant number, since it is smaller than the sum of its proper divisors (28071899118).

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

22244428242 is a wasteful number, since it uses less digits than its factorization.

22244428242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26287 (or 26284 counting only the distinct ones).

The product of its digits is 131072, while the sum is 36.

The spelling of 22244428242 in words is "twenty-two billion, two hundred forty-four million, four hundred twenty-eight thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 2237 4474 6711 13422 20133 24019 40266 48038 51451 72057 102902 144114 154353 216171 308706 432342 463059 552437 926118 1104874 1657311 3314622 4971933 9943866 53730503 107461006 161191509 322383018 483574527 967149054 1235801569 2471603138 3707404707 7414809414 11122214121 22244428242