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22032180 = 22325122401
BaseRepresentation
bin101010000001…
…0111100110100
31112110100110200
41110002330310
521120012210
62104120500
7355161522
oct124027464
945410420
1022032180
1111489115
127466130
1347453c1
142cd7312
151e030c0
hex1502f34

22032180 has 36 divisors (see below), whose sum is σ = 66831492. Its totient is φ = 5875200.

The previous prime is 22032169. The next prime is 22032233. The reversal of 22032180 is 8123022.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4088484 + 17943696 = 2022^2 + 4236^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 61021 + ... + 61380.

Almost surely, 222032180 is an apocalyptic number.

22032180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22032180 is an abundant number, since it is smaller than the sum of its proper divisors (44799312).

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

22032180 is a wasteful number, since it uses less digits than its factorization.

22032180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122416 (or 122411 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 22032180 is about 4693.8449058315. The cubic root of 22032180 is about 280.3404871516.

It can be divided in two parts, 220 and 32180, that added together give a square (32400 = 1802).

The spelling of 22032180 in words is "twenty-two million, thirty-two thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 122401 244802 367203 489604 612005 734406 1101609 1224010 1468812 1836015 2203218 2448020 3672030 4406436 5508045 7344060 11016090 22032180