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22243648 = 267241173
BaseRepresentation
bin101010011011…
…0100101000000
31112212002112211
41110312211000
521143244043
62112431504
7360032200
oct124664500
945762484
1022243648
1111612a89
127548594
1347ba72b
142d50400
151e45a9d
hex1536940

22243648 has 84 divisors (see below), whose sum is σ = 52902612. Its totient is φ = 9246720.

The previous prime is 22243631. The next prime is 22243657. The reversal of 22243648 is 84634222.

It can be written as a sum of positive squares in 2 ways, for example, as 10188864 + 12054784 = 3192^2 + 3472^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128490 + ... + 128662.

It is an arithmetic number, because the mean of its divisors is an integer number (629793).

Almost surely, 222243648 is an apocalyptic number.

22243648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22243648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26451306).

22243648 is an abundant number, since it is smaller than the sum of its proper divisors (30658964).

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

22243648 is a wasteful number, since it uses less digits than its factorization.

22243648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 223 counting only the distinct ones).

The product of its digits is 18432, while the sum is 31.

The square root of 22243648 is about 4716.3172073134. The cubic root of 22243648 is about 281.2345487479.

The spelling of 22243648 in words is "twenty-two million, two hundred forty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 41 49 56 64 82 98 112 164 173 196 224 287 328 346 392 448 574 656 692 784 1148 1211 1312 1384 1568 2009 2296 2422 2624 2768 3136 4018 4592 4844 5536 7093 8036 8477 9184 9688 11072 14186 16072 16954 18368 19376 28372 32144 33908 38752 49651 56744 64288 67816 77504 99302 113488 128576 135632 198604 226976 271264 347557 397208 453952 542528 695114 794416 1390228 1588832 2780456 3177664 5560912 11121824 22243648