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224248260 = 223519196709
BaseRepresentation
bin11010101110111…
…00000111000100
3120121221222210010
431113130013010
5424401421020
634130230220
75362036005
oct1527340704
9517858703
10224248260
11105645045
1263125370
13375c72a2
1421ad51ac
1514a48de0
hexd5dc1c4

224248260 has 48 divisors (see below), whose sum is σ = 660945600. Its totient is φ = 56651904.

The previous prime is 224248253. The next prime is 224248291. The reversal of 224248260 is 62842422.

224248260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2242482602 = 100574564226055200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 97215 + ... + 99494.

It is an arithmetic number, because the mean of its divisors is an integer number (13769700).

Almost surely, 2224248260 is an apocalyptic number.

224248260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224248260 is an abundant number, since it is smaller than the sum of its proper divisors (436697340).

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

224248260 is a wasteful number, since it uses less digits than its factorization.

224248260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196740 (or 196738 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 224248260 is about 14974.9210348502. The cubic root of 224248260 is about 607.5420756984.

The spelling of 224248260 in words is "two hundred twenty-four million, two hundred forty-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 196709 393418 590127 786836 983545 1180254 1967090 2360508 2950635 3737471 3934180 5901270 7474942 11212413 11802540 14949884 18687355 22424826 37374710 44849652 56062065 74749420 112124130 224248260