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2258013460 = 2251131915231
BaseRepresentation
bin1000011010010110…
…1000110100010100
312211100211222011011
42012211220310110
514111022412320
61012021022004
7106645540423
oct20645506424
95740758134
102258013460
11a59653a2a
12530254904
1329ca64351
14175c5d2ba
15d337b05a
hex86968d14

2258013460 has 48 divisors (see below), whose sum is σ = 4809756672. Its totient is φ = 890355200.

The previous prime is 2258013451. The next prime is 2258013481. The reversal of 2258013460 is 643108522.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429045 + ... + 434275.

It is an arithmetic number, because the mean of its divisors is an integer number (100203264).

Almost surely, 22258013460 is an apocalyptic number.

2258013460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2258013460 is an abundant number, since it is smaller than the sum of its proper divisors (2551743212).

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

2258013460 is a wasteful number, since it uses less digits than its factorization.

2258013460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5544 (or 5542 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 2258013460 is about 47518.5591111515. The cubic root of 2258013460 is about 1311.9244988342.

The spelling of 2258013460 in words is "two billion, two hundred fifty-eight million, thirteen thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 113 191 226 382 452 565 764 955 1130 1910 2260 3820 5231 10462 20924 21583 26155 43166 52310 86332 104620 107915 215830 431660 591103 999121 1182206 1998242 2364412 2955515 3996484 4995605 5911030 9991210 11822060 19982420 112900673 225801346 451602692 564503365 1129006730 2258013460