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2257891980 = 2235191980607
BaseRepresentation
bin1000011010010100…
…1011001010001100
312211100121210111220
42012211023022030
514111010020410
61012014243340
7106644523311
oct20645131214
95740553456
102257891980
11a59580733
125301b6550
1329ca20c76
14175c2ad08
15d3355070
hex8694b28c

2257891980 has 48 divisors (see below), whose sum is σ = 6654842880. Its totient is φ = 570414528.

The previous prime is 2257891967. The next prime is 2257891981. The reversal of 2257891980 is 891987522.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2257891981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 989164 + ... + 991443.

It is an arithmetic number, because the mean of its divisors is an integer number (138642560).

Almost surely, 22257891980 is an apocalyptic number.

2257891980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2257891980 is an abundant number, since it is smaller than the sum of its proper divisors (4396950900).

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

2257891980 is a wasteful number, since it uses less digits than its factorization.

2257891980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980638 (or 1980636 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The square root of 2257891980 is about 47517.2808565473. The cubic root of 2257891980 is about 1311.9009714506.

The spelling of 2257891980 in words is "two billion, two hundred fifty-seven million, eight hundred ninety-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 1980607 3961214 5941821 7922428 9903035 11883642 19806070 23767284 29709105 37631533 39612140 59418210 75263066 112894599 118836420 150526132 188157665 225789198 376315330 451578396 564472995 752630660 1128945990 2257891980