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220977140 = 22553208469
BaseRepresentation
bin11010010101111…
…01011111110100
3120101210210122112
431022331133310
5423032232030
633532150152
75322163136
oct1512753764
9511723575
10220977140
1110381043a
1262008358
1336a20407
14214c3056
15145eea95
hexd2bd7f4

220977140 has 24 divisors (see below), whose sum is σ = 472809960. Its totient is φ = 86722688.

The previous prime is 220977139. The next prime is 220977161. The reversal of 220977140 is 41779022.

It can be written as a sum of positive squares in 4 ways, for example, as 101687056 + 119290084 = 10084^2 + 10922^2 .

It is a junction number, because it is equal to n+sod(n) for n = 220977097 and 220977106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103175 + ... + 105294.

It is an arithmetic number, because the mean of its divisors is an integer number (19700415).

Almost surely, 2220977140 is an apocalyptic number.

220977140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220977140 is an abundant number, since it is smaller than the sum of its proper divisors (251832820).

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

220977140 is a wasteful number, since it uses less digits than its factorization.

220977140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208531 (or 208529 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 220977140 is about 14865.2998624313. The cubic root of 220977140 is about 604.5735126878.

The spelling of 220977140 in words is "two hundred twenty million, nine hundred seventy-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 208469 416938 833876 1042345 2084690 4169380 11048857 22097714 44195428 55244285 110488570 220977140