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226212360 = 233511237451
BaseRepresentation
bin11010111101110…
…11101000001000
3120202122210000120
431132323220020
5430402243420
634240303240
75414526153
oct1536735010
9522583016
10226212360
11106766770
1263911b20
1337b3428a
1422086c9a
1514cd5d40
hexd7bba08

226212360 has 128 divisors (see below), whose sum is σ = 772623360. Its totient is φ = 52448000.

The previous prime is 226212359. The next prime is 226212367. The reversal of 226212360 is 63212622.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 226212360.

It is not an unprimeable number, because it can be changed into a prime (226212367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26635 + ... + 34085.

It is an arithmetic number, because the mean of its divisors is an integer number (6036120).

Almost surely, 2226212360 is an apocalyptic number.

226212360 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 226212360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386311680).

226212360 is an abundant number, since it is smaller than the sum of its proper divisors (546411000).

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

226212360 is a wasteful number, since it uses less digits than its factorization.

226212360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7499 (or 7495 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 226212360 is about 15040.3577085121. The cubic root of 226212360 is about 609.3106608732.

Adding to 226212360 its reverse (63212622), we get a palindrome (289424982).

The spelling of 226212360 in words is "two hundred twenty-six million, two hundred twelve thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 23 24 30 33 40 44 46 55 60 66 69 88 92 110 115 120 132 138 165 184 220 230 253 264 276 330 345 440 460 506 552 660 690 759 920 1012 1265 1320 1380 1518 2024 2530 2760 3036 3795 5060 6072 7451 7590 10120 14902 15180 22353 29804 30360 37255 44706 59608 74510 81961 89412 111765 149020 163922 171373 178824 223530 245883 298040 327844 342746 409805 447060 491766 514119 655688 685492 819610 856865 894120 983532 1028238 1229415 1370984 1639220 1713730 1885103 1967064 2056476 2458830 2570595 3278440 3427460 3770206 4112952 4917660 5141190 5655309 6854920 7540412 9425515 9835320 10282380 11310618 15080824 18851030 20564760 22621236 28276545 37702060 45242472 56553090 75404120 113106180 226212360