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22331213322 = 23112371018231
BaseRepresentation
bin10100110011000010…
…110100011000001010
32010122022010011201220
4110303002310120022
5331213242311242
614131523222510
71420250116125
oct246302643012
963568104656
1022331213322
11951a42a100
1243b2817a36
13214b65b0c2
14111bb5b3bc
158aa755bec
hex5330b460a

22331213322 has 96 divisors (see below), whose sum is σ = 50923942272. Its totient is φ = 6518160000.

The previous prime is 22331213293. The next prime is 22331213327.

22331213322 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22331213292 and 22331213301.

It is not an unprimeable number, because it can be changed into a prime (22331213327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2708947 + ... + 2717177.

It is an arithmetic number, because the mean of its divisors is an integer number (530457732).

Almost surely, 222331213322 is an apocalyptic number.

22331213322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22331213322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25461971136).

22331213322 is an abundant number, since it is smaller than the sum of its proper divisors (28592728950).

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

22331213322 is a wasteful number, since it uses less digits than its factorization.

22331213322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8396 (or 8385 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The spelling of 22331213322 in words is "twenty-two billion, three hundred thirty-one million, two hundred thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 101 111 121 202 222 242 303 363 407 606 726 814 1111 1221 2222 2442 3333 3737 4477 6666 7474 8231 8954 11211 12221 13431 16462 22422 24442 24693 26862 36663 41107 49386 73326 82214 90541 123321 181082 246642 271623 304547 452177 543246 609094 831331 904354 913641 995951 1356531 1662662 1827282 1991902 2493993 2713062 2987853 3350017 4987986 5975706 6700034 9144641 10050051 18289282 20100102 27433923 30759247 36850187 54867846 61518494 73700374 92277741 100591051 110550561 184555482 201182102 221101122 301773153 338351717 603546306 676703434 1015055151 2030110302 3721868887 7443737774 11165606661 22331213322