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22140004122 = 23229293144757
BaseRepresentation
bin10100100111101001…
…011010011100011010
32010010222022202000200
4110213221122130122
5330320320112442
614100533043030
71412435633655
oct244751323432
963128282020
1022140004122
119431500875
12435a786476
13211ab61172
1411005c689c
15898a8634c
hex527a5a71a

22140004122 has 48 divisors (see below), whose sum is σ = 49793856840. Its totient is φ = 7101150336.

The previous prime is 22140004067. The next prime is 22140004129.

22140004122 is a `hidden beast` number, since 221 + 400 + 0 + 41 + 2 + 2 = 666.

22140004122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 22085229321 + 54774801 = 148611^2 + 7401^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22140004095 and 22140004104.

It is not an unprimeable number, because it can be changed into a prime (22140004129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80568 + ... + 225324.

Almost surely, 222140004122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22140004122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24896928420).

22140004122 is an abundant number, since it is smaller than the sum of its proper divisors (27653852718).

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

22140004122 is a wasteful number, since it uses less digits than its factorization.

22140004122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145087 (or 145084 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 2214000 and 4122, that added together give a palindrome (2218122).

The spelling of 22140004122 in words is "twenty-two billion, one hundred forty million, four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 293 522 586 879 1758 2637 5274 8497 16994 25491 50982 76473 144757 152946 289514 434271 868542 1302813 2605626 4197953 8395906 12593859 25187718 37781577 42413801 75563154 84827602 127241403 254482806 381724209 763448418 1230000229 2460000458 3690000687 7380001374 11070002061 22140004122