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22284264 = 2331948869
BaseRepresentation
bin101010100000…
…0011111101000
31112221011021010
41111000133220
521201044024
62113343520
7360261462
oct125003750
945834233
1022284264
1111640552
127567ba0
134803072
142d61132
151e52b29
hex15407e8

22284264 has 32 divisors (see below), whose sum is σ = 58644000. Its totient is φ = 7036992.

The previous prime is 22284239. The next prime is 22284299. The reversal of 22284264 is 46248222.

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

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 7 ways as a sum of consecutive naturals, for example, 23979 + ... + 24890.

It is an arithmetic number, because the mean of its divisors is an integer number (1832625).

Almost surely, 222284264 is an apocalyptic number.

22284264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22284264 is an abundant number, since it is smaller than the sum of its proper divisors (36359736).

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

22284264 is a wasteful number, since it uses less digits than its factorization.

22284264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48897 (or 48893 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 22284264 is about 4720.6211455697. The cubic root of 22284264 is about 281.4056189647.

The spelling of 22284264 in words is "twenty-two million, two hundred eighty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 48869 97738 146607 195476 293214 390952 586428 928511 1172856 1857022 2785533 3714044 5571066 7428088 11142132 22284264