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220302628 = 22721386461
BaseRepresentation
bin11010010000110…
…00110100100100
3120100112112101121
431020120310210
5422344141003
633505503324
75313353500
oct1510306444
9510475347
10220302628
1110339a697
1261941b44
13368453b0
1421389300
1514519cbd
hexd218d24

220302628 has 36 divisors (see below), whose sum is σ = 482976732. Its totient is φ = 87151680.

The previous prime is 220302623. The next prime is 220302673. The reversal of 220302628 is 826203022.

It can be written as a sum of positive squares in 2 ways, for example, as 149035264 + 71267364 = 12208^2 + 8442^2 .

It is not an unprimeable number, because it can be changed into a prime (220302623) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 40683 + ... + 45778.

Almost surely, 2220302628 is an apocalyptic number.

220302628 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

220302628 is an abundant number, since it is smaller than the sum of its proper divisors (262674104).

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

220302628 is a wasteful number, since it uses less digits than its factorization.

220302628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86492 (or 86483 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 220302628 is about 14842.5950561214. The cubic root of 220302628 is about 603.9577510907.

The spelling of 220302628 in words is "two hundred twenty million, three hundred two thousand, six hundred twenty-eight".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1274 2548 86461 172922 345844 605227 1123993 1210454 2247986 2420908 4236589 4495972 7867951 8473178 15735902 16946356 31471804 55075657 110151314 220302628