Search a number
-
+
22671400 = 2352113357
BaseRepresentation
bin101011001111…
…1000000101000
31120122211022111
41112133000220
521300441100
62125532104
7363463243
oct126370050
946584274
1022671400
11118853a4
127714034
13490a33b
14302225a
151ecc6ba
hex159f028

22671400 has 24 divisors (see below), whose sum is σ = 52711470. Its totient is φ = 9068480.

The previous prime is 22671379. The next prime is 22671403. The reversal of 22671400 is 417622.

It can be written as a sum of positive squares in 3 ways, for example, as 9696996 + 12974404 = 3114^2 + 3602^2 .

It is not an unprimeable number, because it can be changed into a prime (22671403) by changing a digit.

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, 56479 + ... + 56878.

Almost surely, 222671400 is an apocalyptic number.

22671400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22671400 is an abundant number, since it is smaller than the sum of its proper divisors (30040070).

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

22671400 is a wasteful number, since it uses less digits than its factorization.

22671400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113373 (or 113364 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 22671400 is about 4761.4493591763. The cubic root of 22671400 is about 283.0258563697.

The spelling of 22671400 in words is "twenty-two million, six hundred seventy-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 113357 226714 453428 566785 906856 1133570 2267140 2833925 4534280 5667850 11335700 22671400