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22132260 = 22325122957
BaseRepresentation
bin101010001101…
…1011000100100
31112122102202100
41110123120210
521131213020
62110212100
7356056353
oct124333044
945572670
1022132260
1111547327
1274b4030
13477bb17
142d2199a
151e22a90
hex151b624

22132260 has 36 divisors (see below), whose sum is σ = 67135068. Its totient is φ = 5901888.

The previous prime is 22132259. The next prime is 22132261. The reversal of 22132260 is 6223122.

It is an interprime number because it is at equal distance from previous prime (22132259) and next prime (22132261).

It can be written as a sum of positive squares in 2 ways, for example, as 15872256 + 6260004 = 3984^2 + 2502^2 .

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 not an unprimeable number, because it can be changed into a prime (22132261) 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 11 ways as a sum of consecutive naturals, for example, 61299 + ... + 61658.

It is an arithmetic number, because the mean of its divisors is an integer number (1864863).

Almost surely, 222132260 is an apocalyptic number.

22132260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22132260 is an abundant number, since it is smaller than the sum of its proper divisors (45002808).

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

22132260 is a wasteful number, since it uses less digits than its factorization.

22132260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122972 (or 122967 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 22132260 is about 4704.4935965521. The cubic root of 22132260 is about 280.7643232731.

Adding to 22132260 its reverse (6223122), we get a palindrome (28355382).

The spelling of 22132260 in words is "twenty-two million, one hundred thirty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 122957 245914 368871 491828 614785 737742 1106613 1229570 1475484 1844355 2213226 2459140 3688710 4426452 5533065 7377420 11066130 22132260