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226248360 = 233513145031
BaseRepresentation
bin11010111110001…
…00011010101000
3120202201121101220
431133010122220
5430404421420
634241142040
75415036132
oct1537043250
9522647356
10226248360
11106790818
126392a920
1337b47790
1422096052
1514ce1840
hexd7c46a8

226248360 has 64 divisors (see below), whose sum is σ = 730961280. Its totient is φ = 55691520.

The previous prime is 226248331. The next prime is 226248367. The reversal of 226248360 is 63842622.

226248360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (226248367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70956 + ... + 74075.

It is an arithmetic number, because the mean of its divisors is an integer number (11421270).

Almost surely, 2226248360 is an apocalyptic number.

226248360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226248360 is an abundant number, since it is smaller than the sum of its proper divisors (504712920).

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

226248360 is a wasteful number, since it uses less digits than its factorization.

226248360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145058 (or 145054 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 226248360 is about 15041.5544409479. The cubic root of 226248360 is about 609.3429815655.

The spelling of 226248360 in words is "two hundred twenty-six million, two hundred forty-eight thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 145031 290062 435093 580124 725155 870186 1160248 1450310 1740372 1885403 2175465 2900620 3480744 3770806 4350930 5656209 5801240 7541612 8701860 9427015 11312418 15083224 17403720 18854030 22624836 28281045 37708060 45249672 56562090 75416120 113124180 226248360