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220546164 = 22371379683
BaseRepresentation
bin11010010010101…
…00010001110100
3120100222220110110
431021110101310
5422424434124
633515023020
75315416506
oct1511242164
9510886413
10220546164
11103546663
1261a3aa70
13368cc1b7
142140dd76
1514567029
hexd254474

220546164 has 48 divisors (see below), whose sum is σ = 523998720. Its totient is φ = 72182880.

The previous prime is 220546141. The next prime is 220546169. The reversal of 220546164 is 461645022.

220546164 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2205461642 = 97281220910229792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220546169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322567 + ... + 323249.

It is an arithmetic number, because the mean of its divisors is an integer number (10916640).

Almost surely, 2220546164 is an apocalyptic number.

It is an amenable number.

220546164 is an abundant number, since it is smaller than the sum of its proper divisors (303452556).

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

220546164 is a wasteful number, since it uses less digits than its factorization.

220546164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 220546164 is about 14850.7967463029. The cubic root of 220546164 is about 604.1802197472.

The spelling of 220546164 in words is "two hundred twenty million, five hundred forty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 71 142 213 284 379 426 683 758 852 1137 1366 1516 2049 2274 2732 4098 4548 8196 26909 48493 53818 80727 96986 107636 145479 161454 193972 258857 290958 322908 517714 581916 776571 1035428 1553142 3106284 18378847 36757694 55136541 73515388 110273082 220546164