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22142184 = 2333129761
BaseRepresentation
bin101010001110…
…1110011101000
31112122221100220
41110131303220
521132022214
62110330040
7356130321
oct124356350
945587326
1022142184
1111553829
1274b9920
1347834ac
142d25448
151e259a9
hex151dce8

22142184 has 32 divisors (see below), whose sum is σ = 57143040. Its totient is φ = 7142400.

The previous prime is 22142171. The next prime is 22142189. The reversal of 22142184 is 48124122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22142189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14137 + ... + 15624.

It is an arithmetic number, because the mean of its divisors is an integer number (1785720).

Almost surely, 222142184 is an apocalyptic number.

22142184 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22142184 is an abundant number, since it is smaller than the sum of its proper divisors (35000856).

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

22142184 is a wasteful number, since it uses less digits than its factorization.

22142184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29801 (or 29797 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 22142184 is about 4705.5482146079. The cubic root of 22142184 is about 280.8062814643.

The spelling of 22142184 in words is "twenty-two million, one hundred forty-two thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 29761 59522 89283 119044 178566 238088 357132 714264 922591 1845182 2767773 3690364 5535546 7380728 11071092 22142184