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213988628 = 2278399109
BaseRepresentation
bin11001100000100…
…11010100010100
3112220122202012202
430300103110110
5414240114003
633122304032
75205605360
oct1460232424
9486582182
10213988628
11aa877907
125b7b8018
13354444b9
14205c42a0
1513bbe088
hexcc13514

213988628 has 24 divisors (see below), whose sum is σ = 428534400. Its totient is φ = 91590048.

The previous prime is 213988609. The next prime is 213988661. The reversal of 213988628 is 826889312.

It is a super-2 number, since 2×2139886282 = 91582265826644768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 18938 + ... + 28046.

It is an arithmetic number, because the mean of its divisors is an integer number (17855600).

Almost surely, 2213988628 is an apocalyptic number.

213988628 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

213988628 is an abundant number, since it is smaller than the sum of its proper divisors (214545772).

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

213988628 is a wasteful number, since it uses less digits than its factorization.

213988628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9959 (or 9957 counting only the distinct ones).

The product of its digits is 331776, while the sum is 47.

The square root of 213988628 is about 14628.3501462058. The cubic root of 213988628 is about 598.1318076514.

The spelling of 213988628 in words is "two hundred thirteen million, nine hundred eighty-eight thousand, six hundred twenty-eight".

Divisors: 1 2 4 7 14 28 839 1678 3356 5873 9109 11746 18218 23492 36436 63763 127526 255052 7642451 15284902 30569804 53497157 106994314 213988628