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22222002005 = 572113853941
BaseRepresentation
bin10100101100100010…
…001101011101010101
32010100200121122222022
4110230202031131111
5331002313031010
614113022342525
71414452620600
oct245442153525
963320548868
1022222002005
119473817015
12438212aa45
132131b40a18
14110b44d337
158a0d81d55
hex52c88d755

22222002005 has 48 divisors (see below), whose sum is σ = 31364598384. Its totient is φ = 15069358080.

The previous prime is 22222002001. The next prime is 22222002017. The reversal of 22222002005 is 50020022222.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7246606129 + 14975395876 = 85127^2 + 122374^2 .

It is not a de Polignac number, because 22222002005 - 22 = 22222002001 is a prime.

It is a super-2 number, since 2×222220020052 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22222002001) 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 47 ways as a sum of consecutive naturals, for example, 23614835 + ... + 23615775.

It is an arithmetic number, because the mean of its divisors is an integer number (653429133).

Almost surely, 222222002005 is an apocalyptic number.

It is an amenable number.

22222002005 is a deficient number, since it is larger than the sum of its proper divisors (9142596379).

22222002005 is a wasteful number, since it uses less digits than its factorization.

22222002005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

Adding to 22222002005 its reverse (50020022222), we get a palindrome (72242024227).

The spelling of 22222002005 in words is "twenty-two billion, two hundred twenty-two million, two thousand, five".

Divisors: 1 5 7 35 49 113 245 565 791 853 941 3955 4265 4705 5537 5971 6587 27685 29855 32935 41797 46109 96389 106333 208985 230545 481945 531665 674723 744331 802673 3373615 3721655 4013365 4723061 5210317 5618711 23615305 26051585 28093555 39330977 90702049 196654885 453510245 634914343 3174571715 4444400401 22222002005