Search a number
-
+
22086180 = 22325122701
BaseRepresentation
bin101010001000…
…0001000100100
31112120002112200
41110100020210
521123224210
62105214500
7355505124
oct124201044
945502480
1022086180
1111515746
127491430
134763b5c
142d0cc84
151e140c0
hex1510224

22086180 has 36 divisors (see below), whose sum is σ = 66995292. Its totient is φ = 5889600.

The previous prime is 22086173. The next prime is 22086199. The reversal of 22086180 is 8168022.

It can be written as a sum of positive squares in 2 ways, for example, as 16064064 + 6022116 = 4008^2 + 2454^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61171 + ... + 61530.

Almost surely, 222086180 is an apocalyptic number.

22086180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22086180 is an abundant number, since it is smaller than the sum of its proper divisors (44909112).

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

22086180 is a wasteful number, since it uses less digits than its factorization.

22086180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122716 (or 122711 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 22086180 is about 4699.5935994509. The cubic root of 22086180 is about 280.5693347624.

The spelling of 22086180 in words is "twenty-two million, eighty-six thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 122701 245402 368103 490804 613505 736206 1104309 1227010 1472412 1840515 2208618 2454020 3681030 4417236 5521545 7362060 11043090 22086180