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22221012112 = 2413140975821
BaseRepresentation
bin10100101100011110…
…011011110010010000
32010100121202101002121
4110230132123302100
5331002034341422
614112545224024
71414441325605
oct245436336220
963317671077
1022221012112
119473200322
124381932014
1321318852a0
14110b2726ac
158a0c388c7
hex52c79bc90

22221012112 has 40 divisors (see below), whose sum is σ = 46398514680. Its totient is φ = 10248437760.

The previous prime is 22221012101. The next prime is 22221012119. The reversal of 22221012112 is 21121012222.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 903844096 + 21317168016 = 30064^2 + 146004^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (22221012119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255162 + ... + 330982.

It is an arithmetic number, because the mean of its divisors is an integer number (1159962867).

Almost surely, 222221012112 is an apocalyptic number.

It is an amenable number.

22221012112 is an abundant number, since it is smaller than the sum of its proper divisors (24177502568).

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

22221012112 is a wasteful number, since it uses less digits than its factorization.

22221012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77251 (or 77245 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22221012112 its reverse (21121012222), we get a palindrome (43342024334).

The spelling of 22221012112 in words is "twenty-two billion, two hundred twenty-one million, twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 208 1409 2818 5636 11272 18317 22544 36634 73268 75821 146536 151642 293072 303284 606568 985673 1213136 1971346 3942692 7885384 15770768 106831789 213663578 427327156 854654312 1388813257 1709308624 2777626514 5555253028 11110506056 22221012112