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268971220 = 225719101117
BaseRepresentation
bin10000000010000…
…010110011010100
3200202010011011001
4100002002303110
51022324034340
642404553044
76444134440
oct2002026324
9622104131
10268971220
11128911071
12760b2784
134395578b
1427a17820
151893029a
hex10082cd4

268971220 has 48 divisors (see below), whose sum is σ = 679512960. Its totient is φ = 87364224.

The previous prime is 268971187. The next prime is 268971247. The reversal of 268971220 is 22179862.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 268971220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47899 + ... + 53218.

It is an arithmetic number, because the mean of its divisors is an integer number (14156520).

Almost surely, 2268971220 is an apocalyptic number.

268971220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268971220 is an abundant number, since it is smaller than the sum of its proper divisors (410541740).

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

268971220 is a wasteful number, since it uses less digits than its factorization.

268971220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101152 (or 101150 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 268971220 is about 16400.3420696033. The cubic root of 268971220 is about 645.5084587164.

The spelling of 268971220 in words is "two hundred sixty-eight million, nine hundred seventy-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 101117 202234 404468 505585 707819 1011170 1415638 1921223 2022340 2831276 3539095 3842446 7078190 7684892 9606115 13448561 14156380 19212230 26897122 38424460 53794244 67242805 134485610 268971220