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22946080 = 255143413
BaseRepresentation
bin101011110001…
…0000100100000
31121011210002211
41113202010200
521333233310
62135451504
7366016123
oct127420440
947153084
1022946080
1111a52803
127826b94
1349a5381
1430943ba
152033c8a
hex15e2120

22946080 has 24 divisors (see below), whose sum is σ = 54210492. Its totient is φ = 9178368.

The previous prime is 22946057. The next prime is 22946083. The reversal of 22946080 is 8064922.

It can be written as a sum of positive squares in 2 ways, for example, as 21418384 + 1527696 = 4628^2 + 1236^2 .

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (22946083) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71547 + ... + 71866.

Almost surely, 222946080 is an apocalyptic number.

22946080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22946080 is an abundant number, since it is smaller than the sum of its proper divisors (31264412).

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

22946080 is a wasteful number, since it uses less digits than its factorization.

22946080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143428 (or 143420 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 22946080 is about 4790.2066761258. The cubic root of 22946080 is about 284.1642903151.

The spelling of 22946080 in words is "twenty-two million, nine hundred forty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 143413 286826 573652 717065 1147304 1434130 2294608 2868260 4589216 5736520 11473040 22946080