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22200222313321 = 1321693626912377
BaseRepresentation
bin1010000110000111001000…
…10111010110101101101001
32220121022122122220201122221
411003003210113112231221
510402212023403011241
6115114350310114041
74450625130063523
oct503034427265551
986538578821587
1022200222313321
11708a074812338
1225a667564b921
13c50619c34900
1456a6d453ca13
1528772aa9d5d1
hex1430e45d6b69

22200222313321 has 24 divisors (see below), whose sum is σ = 24059273820120. Its totient is φ = 20475487259136.

The previous prime is 22200222313309. The next prime is 22200222313331. The reversal of 22200222313321 is 12331322200222.

It can be written as a sum of positive squares in 12 ways, for example, as 18613702209600 + 3586520103721 = 4314360^2 + 1893811^2 .

It is not a de Polignac number, because 22200222313321 - 27 = 22200222313193 is a prime.

It is a super-2 number, since 2×222002223133212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22200222313331) 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, 1793661285 + ... + 1793673661.

It is an arithmetic number, because the mean of its divisors is an integer number (1002469742505).

Almost surely, 222200222313321 is an apocalyptic number.

It is an amenable number.

22200222313321 is a deficient number, since it is larger than the sum of its proper divisors (1859051506799).

22200222313321 is a wasteful number, since it uses less digits than its factorization.

22200222313321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20365 (or 20352 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 22200222313321 its reverse (12331322200222), we get a palindrome (34531544513543).

The spelling of 22200222313321 in words is "twenty-two trillion, two hundred billion, two hundred twenty-two million, three hundred thirteen thousand, three hundred twenty-one".

Divisors: 1 13 169 1693 6269 12377 22009 81497 160901 286117 1059461 2091713 10613417 20954261 77591413 137974421 272405393 1008688369 1793667473 3541270109 13112948797 131362262209 1707709408717 22200222313321