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22102324332 = 223111912317159
BaseRepresentation
bin10100100101011001…
…101011010001101100
32010001100102102001220
4110211121223101230
5330231143334312
614053105303340
71411500441234
oct244531532154
963040372056
1022102324332
119412205450
12434a034b50
1321130ca72a
1410d95b8cc4
158955e1c8c
hex52566b46c

22102324332 has 96 divisors (see below), whose sum is σ = 59277926400. Its totient is φ = 6339124800.

The previous prime is 22102324331. The next prime is 22102324333. The reversal of 22102324332 is 23342320122.

It is an interprime number because it is at equal distance from previous prime (22102324331) and next prime (22102324333).

It is not an unprimeable number, because it can be changed into a prime (22102324331) 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 31 ways as a sum of consecutive naturals, for example, 3083769 + ... + 3090927.

It is an arithmetic number, because the mean of its divisors is an integer number (617478400).

Almost surely, 222102324332 is an apocalyptic number.

22102324332 is a gapful number since it is divisible by the number (22) 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 22102324332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29638963200).

22102324332 is an abundant number, since it is smaller than the sum of its proper divisors (37175602068).

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

22102324332 is a wasteful number, since it uses less digits than its factorization.

22102324332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8427 (or 8425 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 22102324332 its reverse (23342320122), we get a palindrome (45444644454).

The spelling of 22102324332 in words is "twenty-two billion, one hundred two million, three hundred twenty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1231 1254 2462 2508 3693 4924 7159 7386 13541 14318 14772 21477 23389 27082 28636 40623 42954 46778 54164 70167 78749 81246 85908 93556 136021 140334 157498 162492 236247 257279 272042 280668 314996 408063 472494 514558 544084 771837 816126 944988 1029116 1496231 1543674 1632252 2992462 3087348 4488693 5984924 8812729 8977386 17625458 17954772 26438187 35250916 52876374 96940019 105752748 167441851 193880038 290820057 334883702 387760076 502325553 581640114 669767404 1004651106 1163280228 1841860361 2009302212 3683720722 5525581083 7367441444 11051162166 22102324332