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22868320 = 255473041
BaseRepresentation
bin101011100111…
…1000101100000
31121000211102211
41113033011200
521323241240
62134051504
7365243326
oct127170540
947024384
1022868320
11119aa342
1277a9b94
134978b67
143073d16
15201abea
hex15cf160

22868320 has 48 divisors (see below), whose sum is σ = 55194048. Its totient is φ = 8949760.

The previous prime is 22868317. The next prime is 22868323. The reversal of 22868320 is 2386822.

It is an interprime number because it is at equal distance from previous prime (22868317) and next prime (22868323).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22868323) 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, 6000 + ... + 9040.

It is an arithmetic number, because the mean of its divisors is an integer number (1149876).

Almost surely, 222868320 is an apocalyptic number.

22868320 is a gapful number since it is divisible by the number (20) 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 22868320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27597024).

22868320 is an abundant number, since it is smaller than the sum of its proper divisors (32325728).

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

22868320 is a wasteful number, since it uses less digits than its factorization.

22868320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3103 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 22868320 is about 4782.0832280503. The cubic root of 22868320 is about 283.8429337152.

The spelling of 22868320 in words is "twenty-two million, eight hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 376 470 752 940 1504 1880 3041 3760 6082 7520 12164 15205 24328 30410 48656 60820 97312 121640 142927 243280 285854 486560 571708 714635 1143416 1429270 2286832 2858540 4573664 5717080 11434160 22868320