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22004122431 = 3173197143483
BaseRepresentation
bin10100011111100011…
…000100001100111111
32002210111122020101110
4110133203010030333
5330031023404211
614035240413103
71406165645304
oct243743041477
962714566343
1022004122431
119371831955
124321177193
1320c89664b5
1410ca5350ab
1588bb94ea6
hex51f8c433f

22004122431 has 32 divisors (see below), whose sum is σ = 32397539328. Its totient is φ = 13223301120.

The previous prime is 22004122429. The next prime is 22004122453. The reversal of 22004122431 is 13422140022.

It is not a de Polignac number, because 22004122431 - 21 = 22004122429 is a prime.

It is a super-2 number, since 2×220041224312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22004122398 and 22004122407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22004124431) 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 31 ways as a sum of consecutive naturals, for example, 81616 + ... + 225098.

It is an arithmetic number, because the mean of its divisors is an integer number (1012423104).

Almost surely, 222004122431 is an apocalyptic number.

22004122431 is a deficient number, since it is larger than the sum of its proper divisors (10393416897).

22004122431 is a wasteful number, since it uses less digits than its factorization.

22004122431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143631.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 22004122431 its reverse (13422140022), we get a palindrome (35426262453).

The spelling of 22004122431 in words is "twenty-two billion, four million, one hundred twenty-two thousand, four hundred thirty-one".

Divisors: 1 3 17 31 51 93 97 291 527 1581 1649 3007 4947 9021 51119 143483 153357 430449 2439211 4447973 7317633 13343919 13917851 41753553 75615541 226846623 236603467 431453381 709810401 1294360143 7334707477 22004122431