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22148664 = 233922861
BaseRepresentation
bin101010001111…
…1011000111000
31112200021020220
41110133120320
521132224124
62110420040
7356155236
oct124373070
945607226
1022148664
111155868a
127501620
134786425
142d27956
151e27879
hex151f638

22148664 has 16 divisors (see below), whose sum is σ = 55371720. Its totient is φ = 7382880.

The previous prime is 22148657. The next prime is 22148669. The reversal of 22148664 is 46684122.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22148669) 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 3 ways as a sum of consecutive naturals, for example, 461407 + ... + 461454.

Almost surely, 222148664 is an apocalyptic number.

22148664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22148664 is an abundant number, since it is smaller than the sum of its proper divisors (33223056).

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

22148664 is a wasteful number, since it uses less digits than its factorization.

22148664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922870 (or 922866 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 22148664 is about 4706.2367131287. The cubic root of 22148664 is about 280.8336718251.

It can be divided in two parts, 2214 and 8664, that added together give a triangular number (10878 = T147).

The spelling of 22148664 in words is "twenty-two million, one hundred forty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 922861 1845722 2768583 3691444 5537166 7382888 11074332 22148664