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10222213122 = 234115736371
BaseRepresentation
bin10011000010100101…
…01001100000000010
3222101101220020020000
421201102221200002
5131413341304442
64410201300430
7511213243422
oct114122514002
928341806200
1010222213122
11437619a020
121b93494716
13c6ba51324
146cd888482
153ec653d4c
hex2614a9802

10222213122 has 40 divisors (see below), whose sum is σ = 24987636432. Its totient is φ = 3097639800.

The previous prime is 10222213121. The next prime is 10222213129. The reversal of 10222213122 is 22131222201.

It is a super-2 number, since 2×102222131222 (a number of 21 digits) contains 22 as substring.

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 = 10222213095 and 10222213104.

It is not an unprimeable number, because it can be changed into a prime (10222213121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2866404 + ... + 2869967.

Almost surely, 210222213122 is an apocalyptic number.

10222213122 is an abundant number, since it is smaller than the sum of its proper divisors (14765423310).

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

10222213122 is a wasteful number, since it uses less digits than its factorization.

10222213122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5736396 (or 5736387 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10222213122 its reverse (22131222201), we get a palindrome (32353435323).

It can be divided in two parts, 1022 and 2213122, that added together give a square (2214144 = 14882).

The spelling of 10222213122 in words is "ten billion, two hundred twenty-two million, two hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1782 5736371 11472742 17209113 34418226 51627339 63100081 103254678 126200162 154882017 189300243 309764034 378600486 464646051 567900729 929292102 1135801458 1703702187 3407404374 5111106561 10222213122