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22212131304 = 23311541155521
BaseRepresentation
bin10100101011111100…
…100011100111101000
32010100000001011220210
4110223330203213220
5330442301200204
614112031021120
71414303000206
oct245374434750
963300034823
1022212131304
119469195010
12437a96a7a0
13212ca95c7c
14110a000076
158a0082389
hex52bf239e8

22212131304 has 64 divisors (see below), whose sum is σ = 60690905280. Its totient is φ = 6718464000.

The previous prime is 22212131281. The next prime is 22212131309. The reversal of 22212131304 is 40313121222.

It is a super-2 number, since 2×222121313042 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22212131309) 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, 65064 + ... + 220584.

It is an arithmetic number, because the mean of its divisors is an integer number (948295395).

Almost surely, 222212131304 is an apocalyptic number.

22212131304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22212131304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30345452640).

22212131304 is an abundant number, since it is smaller than the sum of its proper divisors (38478773976).

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

22212131304 is a wasteful number, since it uses less digits than its factorization.

22212131304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156082 (or 156078 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 22212131304 its reverse (40313121222), we get a palindrome (62525252526).

The spelling of 22212131304 in words is "twenty-two billion, two hundred twelve million, one hundred thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 541 1082 1623 2164 3246 4328 5951 6492 11902 12984 17853 23804 35706 47608 71412 142824 155521 311042 466563 622084 933126 1244168 1710731 1866252 3421462 3732504 5132193 6842924 10264386 13685848 20528772 41057544 84136861 168273722 252410583 336547444 504821166 673094888 925505471 1009642332 1851010942 2019284664 2776516413 3702021884 5553032826 7404043768 11106065652 22212131304