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22313872 = 2471671193
BaseRepresentation
bin101010100011…
…1101110010000
31112222122212201
41111013232100
521203020442
62114132544
7360444010
oct125075620
945878781
1022313872
1111660819
127581154
134813699
142d6bc40
151e5b7b7
hex1547b90

22313872 has 40 divisors (see below), whose sum is σ = 49746816. Its totient is φ = 9497856.

The previous prime is 22313839. The next prime is 22313897. The reversal of 22313872 is 27831322.

It is a super-3 number, since 3×223138723 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 22313872.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18108 + ... + 19300.

Almost surely, 222313872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22313872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24873408).

22313872 is an abundant number, since it is smaller than the sum of its proper divisors (27432944).

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

22313872 is a wasteful number, since it uses less digits than its factorization.

22313872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1369 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 22313872 is about 4723.7561325708. The cubic root of 22313872 is about 281.5301937206.

The spelling of 22313872 in words is "twenty-two million, three hundred thirteen thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 167 334 668 1169 1193 1336 2338 2386 2672 4676 4772 8351 9352 9544 16702 18704 19088 33404 66808 133616 199231 398462 796924 1394617 1593848 2789234 3187696 5578468 11156936 22313872