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220164924 = 223723113957
BaseRepresentation
bin11010001111101…
…11001100111100
3120100021112111110
431013313030330
5422330234144
633502522020
75312241150
oct1507671474
9510245443
10220164924
11103306191
1261896310
13367c7805
1421351060
15144de0b9
hexd1f733c

220164924 has 48 divisors (see below), whose sum is σ = 612638208. Its totient is φ = 60168768.

The previous prime is 220164899. The next prime is 220164929. The reversal of 220164924 is 429461022.

It is a junction number, because it is equal to n+sod(n) for n = 220164891 and 220164900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220164929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55047 + ... + 58910.

It is an arithmetic number, because the mean of its divisors is an integer number (12763296).

Almost surely, 2220164924 is an apocalyptic number.

It is an amenable number.

220164924 is an abundant number, since it is smaller than the sum of its proper divisors (392473284).

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

220164924 is a wasteful number, since it uses less digits than its factorization.

220164924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113994 (or 113992 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 220164924 is about 14837.9555195451. The cubic root of 220164924 is about 603.8318867538.

The spelling of 220164924 in words is "two hundred twenty million, one hundred sixty-four thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1932 113957 227914 341871 455828 683742 797699 1367484 1595398 2393097 2621011 3190796 4786194 5242022 7863033 9572388 10484044 15726066 18347077 31452132 36694154 55041231 73388308 110082462 220164924