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22468896 = 253278017
BaseRepresentation
bin101010110110…
…1100100100000
31120021112112100
41111231210200
521223001041
62121330400
7361660662
oct125554440
946245470
1022468896
111175723a
127636a00
134869108
142dac532
151e8c6b6
hex156d920

22468896 has 36 divisors (see below), whose sum is σ = 63896742. Its totient is φ = 7489536.

The previous prime is 22468877. The next prime is 22468909. The reversal of 22468896 is 69886422.

It can be written as a sum of positive squares in only one way, i.e., 22467600 + 1296 = 4740^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 5 ways as a sum of consecutive naturals, for example, 38721 + ... + 39296.

Almost surely, 222468896 is an apocalyptic number.

It is an amenable number.

22468896 is an abundant number, since it is smaller than the sum of its proper divisors (41427846).

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

22468896 is a wasteful number, since it uses less digits than its factorization.

22468896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78033 (or 78022 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 22468896 is about 4740.1367068894. The cubic root of 22468896 is about 282.1806598527.

The spelling of 22468896 in words is "twenty-two million, four hundred sixty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 78017 156034 234051 312068 468102 624136 702153 936204 1248272 1404306 1872408 2496544 2808612 3744816 5617224 7489632 11234448 22468896