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22312668 = 22372311549
BaseRepresentation
bin101010100011…
…1011011011100
31112222121020010
41111013123130
521203001133
62114123220
7360440340
oct125073334
945877203
1022312668
111165a924
127580510
134812c81
142d6b620
151e5b263
hex15476dc

22312668 has 48 divisors (see below), whose sum is σ = 62092800. Its totient is φ = 6097344.

The previous prime is 22312663. The next prime is 22312699. The reversal of 22312668 is 86621322.

It is a super-3 number, since 3×223126683 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22312663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3843 + ... + 7706.

It is an arithmetic number, because the mean of its divisors is an integer number (1293600).

Almost surely, 222312668 is an apocalyptic number.

22312668 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

22312668 is an abundant number, since it is smaller than the sum of its proper divisors (39780132).

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

22312668 is a wasteful number, since it uses less digits than its factorization.

22312668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11586 (or 11584 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 22312668 is about 4723.6286898951. The cubic root of 22312668 is about 281.5251300776.

The spelling of 22312668 in words is "twenty-two million, three hundred twelve thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1932 11549 23098 34647 46196 69294 80843 138588 161686 242529 265627 323372 485058 531254 796881 970116 1062508 1593762 1859389 3187524 3718778 5578167 7437556 11156334 22312668