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226242360 = 233253971583
BaseRepresentation
bin11010111110000…
…10111100111000
3120202201022011200
431133002330320
5430404223420
634241054200
75415012501
oct1537027470
9522638150
10226242360
11106787263
1263927360
1337b44b26
1422093ba8
1514cdeb90
hexd7c2f38

226242360 has 96 divisors (see below), whose sum is σ = 737605440. Its totient is φ = 60141312.

The previous prime is 226242337. The next prime is 226242397. The reversal of 226242360 is 63242622.

226242360 is a `hidden beast` number, since 2 + 2 + 624 + 2 + 36 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142129 + ... + 143711.

It is an arithmetic number, because the mean of its divisors is an integer number (7683390).

Almost surely, 2226242360 is an apocalyptic number.

226242360 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 226242360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368802720).

226242360 is an abundant number, since it is smaller than the sum of its proper divisors (511363080).

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

226242360 is a wasteful number, since it uses less digits than its factorization.

226242360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 226242360 is about 15041.3549921541. The cubic root of 226242360 is about 609.3375950216.

Adding to 226242360 its reverse (63242622), we get a palindrome (289484982).

The spelling of 226242360 in words is "two hundred twenty-six million, two hundred forty-two thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 397 794 1191 1583 1588 1985 2382 3166 3176 3573 3970 4749 4764 5955 6332 7146 7915 7940 9498 9528 11910 12664 14247 14292 15830 15880 17865 18996 23745 23820 28494 28584 31660 35730 37992 47490 47640 56988 63320 71235 71460 94980 113976 142470 142920 189960 284940 569880 628451 1256902 1885353 2513804 3142255 3770706 5027608 5656059 6284510 7541412 9426765 11312118 12569020 15082824 18853530 22624236 25138040 28280295 37707060 45248472 56560590 75414120 113121180 226242360