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22506055242 = 23113111000027
BaseRepresentation
bin10100111101011101…
…110010011001001010
32011002111010001202120
4110331131302121022
5332043022231432
614201130512110
71424502212256
oct247535623112
964074101676
1022506055242
1195aa099460
124441295636
132178947268
141137071266
158bac90c2c
hex53d77264a

22506055242 has 32 divisors (see below), whose sum is σ = 50688129024. Its totient is φ = 6600015600.

The previous prime is 22506055189. The next prime is 22506055249. The reversal of 22506055242 is 24255060522.

It is a Harshad number since it is a multiple of its sum of digits (33).

22506055242 is a modest number, since divided by 55242 gives 22506 as remainder.

It is not an unprimeable number, because it can be changed into a prime (22506055249) 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, 5497968 + ... + 5502059.

It is an arithmetic number, because the mean of its divisors is an integer number (1584004032).

Almost surely, 222506055242 is an apocalyptic number.

22506055242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22506055242 is an abundant number, since it is smaller than the sum of its proper divisors (28182073782).

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

22506055242 is a wasteful number, since it uses less digits than its factorization.

22506055242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11000074.

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 22506055242 in words is "twenty-two billion, five hundred six million, fifty-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 682 1023 2046 11000027 22000054 33000081 66000162 121000297 242000594 341000837 363000891 682001674 726001782 1023002511 2046005022 3751009207 7502018414 11253027621 22506055242