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22183968 = 253673449
BaseRepresentation
bin101010010100…
…0000000100000
31112202001200110
41110220000200
521134341333
62111251320
7356363202
oct124500040
945661613
1022183968
1111582164
127519b40
134799511
142d36772
151e33063
hex1528020

22183968 has 48 divisors (see below), whose sum is σ = 59119200. Its totient is φ = 7282176.

The previous prime is 22183961. The next prime is 22183969. The reversal of 22183968 is 86938122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (22183961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4708 + ... + 8156.

It is an arithmetic number, because the mean of its divisors is an integer number (1231650).

Almost surely, 222183968 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 22183968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29559600).

22183968 is an abundant number, since it is smaller than the sum of its proper divisors (36935232).

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

22183968 is a wasteful number, since it uses less digits than its factorization.

22183968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3529 (or 3521 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 22183968 is about 4709.9859872403. The cubic root of 22183968 is about 280.9828048055.

The spelling of 22183968 in words is "twenty-two million, one hundred eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1608 2144 3216 3449 6432 6898 10347 13796 20694 27592 41388 55184 82776 110368 165552 231083 331104 462166 693249 924332 1386498 1848664 2772996 3697328 5545992 7394656 11091984 22183968