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249226780 = 225112834003
BaseRepresentation
bin11101101101011…
…10011000011100
3122100222000212111
432312232120130
51002300224110
640421443404
76114251455
oct1666563034
9570860774
10249226780
11118755850
126b570564
133c83178a
142515812c
1516d2ee8a
hexedae61c

249226780 has 48 divisors (see below), whose sum is σ = 573116544. Its totient is φ = 90285120.

The previous prime is 249226729. The next prime is 249226793. The reversal of 249226780 is 87622942.

It is a super-2 number, since 2×2492267802 = 124227975738336800, which contains 22 as substring.

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, 60259 + ... + 64261.

It is an arithmetic number, because the mean of its divisors is an integer number (11939928).

Almost surely, 2249226780 is an apocalyptic number.

249226780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249226780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286558272).

249226780 is an abundant number, since it is smaller than the sum of its proper divisors (323889764).

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

249226780 is a wasteful number, since it uses less digits than its factorization.

249226780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4306 (or 4304 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 249226780 is about 15786.9180019407. The cubic root of 249226780 is about 629.3103901202.

The spelling of 249226780 in words is "two hundred forty-nine million, two hundred twenty-six thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 283 566 1132 1415 2830 3113 4003 5660 6226 8006 12452 15565 16012 20015 31130 40030 44033 62260 80060 88066 176132 220165 440330 880660 1132849 2265698 4531396 5664245 11328490 12461339 22656980 24922678 49845356 62306695 124613390 249226780