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22243872 = 253779419
BaseRepresentation
bin101010011011…
…0101000100000
31112212002212010
41110312220200
521143300442
62112432520
7360032640
oct124665040
945762763
1022243872
1111613172
127548740
1347ba871
142d50520
151e45b9c
hex1536a20

22243872 has 96 divisors (see below), whose sum is σ = 67737600. Its totient is φ = 6259968.

The previous prime is 22243867. The next prime is 22243891. The reversal of 22243872 is 27834222.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52879 + ... + 53297.

It is an arithmetic number, because the mean of its divisors is an integer number (705600).

Almost surely, 222243872 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 22243872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33868800).

22243872 is an abundant number, since it is smaller than the sum of its proper divisors (45493728).

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

22243872 is a wasteful number, since it uses less digits than its factorization.

22243872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 510 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The square root of 22243872 is about 4716.3409545961. The cubic root of 22243872 is about 281.2354927826.

The spelling of 22243872 in words is "twenty-two million, two hundred forty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 79 84 96 112 158 168 224 237 316 336 419 474 553 632 672 838 948 1106 1257 1264 1659 1676 1896 2212 2514 2528 2933 3318 3352 3792 4424 5028 5866 6636 6704 7584 8799 8848 10056 11732 13272 13408 17598 17696 20112 23464 26544 33101 35196 40224 46928 53088 66202 70392 93856 99303 132404 140784 198606 231707 264808 281568 397212 463414 529616 695121 794424 926828 1059232 1390242 1588848 1853656 2780484 3177696 3707312 5560968 7414624 11121936 22243872