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226612560 = 24352361673
BaseRepresentation
bin11011000000111…
…01010101010000
3120210102002222210
431200131111100
5431003100220
634253032120
75421114006
oct1540352520
9523362883
10226612560
11106a0a409
1263a85640
1337c44495
142214ca76
1514d646e0
hexd81d550

226612560 has 160 divisors (see below), whose sum is σ = 746166528. Its totient is φ = 56770560.

The previous prime is 226612517. The next prime is 226612571. The reversal of 226612560 is 65216622.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336384 + ... + 337056.

Almost surely, 2226612560 is an apocalyptic number.

226612560 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 226612560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373083264).

226612560 is an abundant number, since it is smaller than the sum of its proper divisors (519553968).

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

226612560 is a wasteful number, since it uses less digits than its factorization.

226612560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 226612560 is about 15053.6560343327. The cubic root of 226612560 is about 609.6697666103.

The spelling of 226612560 in words is "two hundred twenty-six million, six hundred twelve thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 61 69 80 92 115 120 122 138 183 184 230 240 244 276 305 345 366 368 460 488 552 610 673 690 732 915 920 976 1104 1220 1346 1380 1403 1464 1830 1840 2019 2440 2692 2760 2806 2928 3365 3660 4038 4209 4880 5384 5520 5612 6730 7015 7320 8076 8418 10095 10768 11224 13460 14030 14640 15479 16152 16836 20190 21045 22448 26920 28060 30958 32304 33672 40380 41053 42090 46437 53840 56120 61916 67344 77395 80760 82106 84180 92874 112240 123159 123832 154790 161520 164212 168360 185748 205265 232185 246318 247664 309580 328424 336720 371496 410530 464370 492636 615795 619160 656848 742992 821060 928740 944219 985272 1231590 1238320 1642120 1857480 1888438 1970544 2463180 2832657 3284240 3714960 3776876 4721095 4926360 5665314 7553752 9442190 9852720 11330628 14163285 15107504 18884380 22661256 28326570 37768760 45322512 56653140 75537520 113306280 226612560