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220482264 = 23347712753
BaseRepresentation
bin11010010010001…
…00101011011000
3120100212122210210
431021010223120
5422420413024
633513411120
75315032302
oct1511045330
9510778723
10220482264
11103502652
1261a09aa0
13368a90a2
14213d4972
1514553129
hexd244ad8

220482264 has 64 divisors (see below), whose sum is σ = 571069440. Its totient is φ = 70891520.

The previous prime is 220482211. The next prime is 220482313. The reversal of 220482264 is 462284022.

It is a super-2 number, since 2×2204822642 = 97224857477131392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78712 + ... + 81464.

It is an arithmetic number, because the mean of its divisors is an integer number (8922960).

Almost surely, 2220482264 is an apocalyptic number.

220482264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220482264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285534720).

220482264 is an abundant number, since it is smaller than the sum of its proper divisors (350587176).

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

220482264 is a wasteful number, since it uses less digits than its factorization.

220482264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 220482264 is about 14848.6451907236. The cubic root of 220482264 is about 604.1218633400.

The spelling of 220482264 in words is "two hundred twenty million, four hundred eighty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 47 71 94 141 142 188 213 282 284 376 426 564 568 852 1128 1704 2753 3337 5506 6674 8259 10011 11012 13348 16518 20022 22024 26696 33036 40044 66072 80088 129391 195463 258782 388173 390926 517564 586389 776346 781852 1035128 1172778 1552692 1563704 2345556 3105384 4691112 9186761 18373522 27560283 36747044 55120566 73494088 110241132 220482264