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224000660 = 22513861541
BaseRepresentation
bin11010101100111…
…11101010010100
3120121111102010202
431112133222110
5424321010120
634121040032
75356655102
oct1526375224
9517442122
10224000660
11105496014
1263026018
133753b690
1421a6cc72
15149ea875
hexd59fa94

224000660 has 24 divisors (see below), whose sum is σ = 506586696. Its totient is φ = 82707840.

The previous prime is 224000659. The next prime is 224000663. The reversal of 224000660 is 66000422.

It can be written as a sum of positive squares in 4 ways, for example, as 13808656 + 210192004 = 3716^2 + 14498^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224000663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 430511 + ... + 431030.

It is an arithmetic number, because the mean of its divisors is an integer number (21107779).

Almost surely, 2224000660 is an apocalyptic number.

224000660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224000660 is an abundant number, since it is smaller than the sum of its proper divisors (282586036).

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

224000660 is a wasteful number, since it uses less digits than its factorization.

224000660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861563 (or 861561 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 224000660 is about 14966.6515961320. The cubic root of 224000660 is about 607.3183908474.

The spelling of 224000660 in words is "two hundred twenty-four million, six hundred sixty", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 861541 1723082 3446164 4307705 8615410 11200033 17230820 22400066 44800132 56000165 112000330 224000660