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226395460 = 225172922961
BaseRepresentation
bin11010111111010…
…00010101000100
3120210000002012001
431133220111010
5430424123320
634244235044
75416221034
oct1537502504
9523002161
10226395460
11106881295
126399ba84
1337b99715
14220d38c4
1514d2020a
hexd7e8544

226395460 has 48 divisors (see below), whose sum is σ = 520778160. Its totient is φ = 82288640.

The previous prime is 226395457. The next prime is 226395487. The reversal of 226395460 is 64593622.

226395460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 7828804 + 218566656 = 2798^2 + 14784^2 .

It is a super-2 number, since 2×2263954602 = 102509808617223200, which contains 22 as substring.

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, 1621 + ... + 21340.

It is an arithmetic number, because the mean of its divisors is an integer number (10849545).

Almost surely, 2226395460 is an apocalyptic number.

226395460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226395460 is an abundant number, since it is smaller than the sum of its proper divisors (294382700).

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

226395460 is a wasteful number, since it uses less digits than its factorization.

226395460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23016 (or 23014 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The square root of 226395460 is about 15046.4434335826. The cubic root of 226395460 is about 609.4750118909.

The spelling of 226395460 in words is "two hundred twenty-six million, three hundred ninety-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1972 2465 4930 9860 22961 45922 91844 114805 229610 390337 459220 665869 780674 1331738 1561348 1951685 2663476 3329345 3903370 6658690 7806740 11319773 13317380 22639546 45279092 56598865 113197730 226395460