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220587072 = 2633137061
BaseRepresentation
bin11010010010111…
…10010001000000
3120101001222120120
431021132101000
5422432241242
633515540240
75315646666
oct1511362100
9511058516
10220587072
11103574372
1261a5a680
13369149c4
1421420c36
15145741ec
hexd25e440

220587072 has 56 divisors (see below), whose sum is σ = 602479872. Its totient is φ = 71155200.

The previous prime is 220587071. The next prime is 220587077. The reversal of 220587072 is 270785022.

220587072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (220587071) 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 7 ways as a sum of consecutive naturals, for example, 12579 + ... + 24482.

Almost surely, 2220587072 is an apocalyptic number.

It is an amenable number.

220587072 is an abundant number, since it is smaller than the sum of its proper divisors (381892800).

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

220587072 is a wasteful number, since it uses less digits than its factorization.

220587072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37107 (or 37097 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 220587072 is about 14852.1739822829. The cubic root of 220587072 is about 604.2175728891.

The spelling of 220587072 in words is "two hundred twenty million, five hundred eighty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 5952 37061 74122 111183 148244 222366 296488 444732 592976 889464 1148891 1185952 1778928 2297782 2371904 3446673 3557856 4595564 6893346 7115712 9191128 13786692 18382256 27573384 36764512 55146768 73529024 110293536 220587072