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226984560 = 243511127677
BaseRepresentation
bin11011000011110…
…00001001110000
3120211010000021120
431201320021300
5431102001220
634305022240
75424223365
oct1541701160
9524100246
10226984560
11107143950
1264024980
13380448ba
142220846c
1514dd9a40
hexd878270

226984560 has 160 divisors (see below), whose sum is σ = 774807552. Its totient is φ = 54512640.

The previous prime is 226984553. The next prime is 226984577. The reversal of 226984560 is 65489622.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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, 334942 + ... + 335618.

Almost surely, 2226984560 is an apocalyptic number.

226984560 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 226984560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387403776).

226984560 is an abundant number, since it is smaller than the sum of its proper divisors (547822992).

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

226984560 is a wasteful number, since it uses less digits than its factorization.

226984560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 226984560 is about 15066.0067702096. The cubic root of 226984560 is about 610.0031890902.

The spelling of 226984560 in words is "two hundred twenty-six million, nine hundred eighty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 127 132 165 176 220 240 254 264 330 381 440 508 528 635 660 677 762 880 1016 1270 1320 1354 1397 1524 1905 2031 2032 2540 2640 2708 2794 3048 3385 3810 4062 4191 5080 5416 5588 6096 6770 6985 7447 7620 8124 8382 10155 10160 10832 11176 13540 13970 14894 15240 16248 16764 20310 20955 22341 22352 27080 27940 29788 30480 32496 33528 37235 40620 41910 44682 54160 55880 59576 67056 74470 81240 83820 85979 89364 111705 111760 119152 148940 162480 167640 171958 178728 223410 257937 297880 335280 343916 357456 429895 446820 515874 595760 687832 859790 893640 945769 1031748 1289685 1375664 1719580 1787280 1891538 2063496 2579370 2837307 3439160 3783076 4126992 4728845 5158740 5674614 6878320 7566152 9457690 10317480 11349228 14186535 15132304 18915380 20634960 22698456 28373070 37830760 45396912 56746140 75661520 113492280 226984560