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220867540 = 22511397729
BaseRepresentation
bin11010010101000…
…10101111010100
3120101121020022021
431022202233110
5423020230130
633525542524
75321225455
oct1512425724
9511536267
10220867540
11103746063
1261b74a44
13369b256a
142149512c
15145cc37a
hexd2a2bd4

220867540 has 24 divisors (see below), whose sum is σ = 467931240. Its totient is φ = 87564288.

The previous prime is 220867501. The next prime is 220867579. The reversal of 220867540 is 45768022.

220867540 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220867501) and next prime (220867579).

It can be written as a sum of positive squares in 4 ways, for example, as 12988816 + 207878724 = 3604^2 + 14418^2 .

It is a junction number, because it is equal to n+sod(n) for n = 220867496 and 220867505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46605 + ... + 51124.

It is an arithmetic number, because the mean of its divisors is an integer number (19497135).

Almost surely, 2220867540 is an apocalyptic number.

220867540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220867540 is an abundant number, since it is smaller than the sum of its proper divisors (247063700).

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

220867540 is a wasteful number, since it uses less digits than its factorization.

220867540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97851 (or 97849 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 220867540 is about 14861.6129676425. The cubic root of 220867540 is about 604.4735442555.

The spelling of 220867540 in words is "two hundred twenty million, eight hundred sixty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 113 226 452 565 1130 2260 97729 195458 390916 488645 977290 1954580 11043377 22086754 44173508 55216885 110433770 220867540