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22728264 = 2331397751
BaseRepresentation
bin101011010110…
…0111001001000
31120202201022120
41112230321020
521304301024
62131051240
7364121106
oct126547110
946681276
1022728264
1111914099
127740b20
13492a1a0
143038c76
151ede479
hex15ace48

22728264 has 64 divisors (see below), whose sum is σ = 61904640. Its totient is φ = 6912000.

The previous prime is 22728263. The next prime is 22728271. The reversal of 22728264 is 46282722.

It is not an unprimeable number, because it can be changed into a prime (22728263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29889 + ... + 30639.

It is an arithmetic number, because the mean of its divisors is an integer number (967260).

Almost surely, 222728264 is an apocalyptic number.

22728264 is a gapful number since it is divisible by the number (24) 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 22728264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30952320).

22728264 is an abundant number, since it is smaller than the sum of its proper divisors (39176376).

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

22728264 is a wasteful number, since it uses less digits than its factorization.

22728264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 866 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 22728264 is about 4767.4169106551. The cubic root of 22728264 is about 283.2622856076.

The spelling of 22728264 in words is "twenty-two million, seven hundred twenty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 97 104 156 194 291 312 388 582 751 776 1164 1261 1502 2253 2328 2522 3004 3783 4506 5044 6008 7566 9012 9763 10088 15132 18024 19526 29289 30264 39052 58578 72847 78104 117156 145694 218541 234312 291388 437082 582776 874164 947011 1748328 1894022 2841033 3788044 5682066 7576088 11364132 22728264