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220254240 = 2535458863
BaseRepresentation
bin11010010000011…
…01000000100000
3120100110002000110
431020031000200
5422341113430
633504451320
75313062433
oct1510150040
9510402013
10220254240
111033672a8
1261919b40
133682936b
142137581a
151450a7b0
hexd20d020

220254240 has 48 divisors (see below), whose sum is σ = 693802368. Its totient is φ = 58734336.

The previous prime is 220254197. The next prime is 220254247. The reversal of 220254240 is 42452022.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (220254247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 228952 + ... + 229911.

It is an arithmetic number, because the mean of its divisors is an integer number (14454216).

Almost surely, 2220254240 is an apocalyptic number.

220254240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220254240 is an abundant number, since it is smaller than the sum of its proper divisors (473548128).

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

220254240 is a wasteful number, since it uses less digits than its factorization.

220254240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458881 (or 458873 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 220254240 is about 14840.9649281979. The cubic root of 220254240 is about 603.9135294249.

The spelling of 220254240 in words is "two hundred twenty million, two hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 458863 917726 1376589 1835452 2294315 2753178 3670904 4588630 5506356 6882945 7341808 9177260 11012712 13765890 14683616 18354520 22025424 27531780 36709040 44050848 55063560 73418080 110127120 220254240