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22268304 = 2433192713
BaseRepresentation
bin101010011110…
…0100110010000
31112220100101000
41110330212100
521200041204
62113142000
7360164112
oct124744620
945810330
1022268304
111162a563
12755a900
1347c8a16
142d593b2
151e4d039
hex153c990

22268304 has 80 divisors (see below), whose sum is σ = 67307200. Its totient is φ = 7029504.

The previous prime is 22268273. The next prime is 22268327. The reversal of 22268304 is 40386222.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6852 + ... + 9564.

It is an arithmetic number, because the mean of its divisors is an integer number (841340).

Almost surely, 222268304 is an apocalyptic number.

22268304 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 22268304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33653600).

22268304 is an abundant number, since it is smaller than the sum of its proper divisors (45038896).

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

22268304 is a wasteful number, since it uses less digits than its factorization.

22268304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 22268304 is about 4718.9303872806. The cubic root of 22268304 is about 281.3384219759.

The spelling of 22268304 in words is "twenty-two million, two hundred sixty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2713 2736 4104 5426 8139 8208 10852 16278 21704 24417 32556 43408 48834 51547 65112 73251 97668 103094 130224 146502 154641 195336 206188 293004 309282 390672 412376 463923 586008 618564 824752 927846 1172016 1237128 1391769 1855692 2474256 2783538 3711384 5567076 7422768 11134152 22268304