Search a number
-
+
227883240 = 233351316231
BaseRepresentation
bin11011001010100…
…11100011101000
3120212210200001000
431211103203220
5431314230430
634340155000
75434655424
oct1545234350
9525720030
10227883240
111076a8062
1264398a60
133829a970
142239db84
1515015e60
hexd9538e8

227883240 has 128 divisors (see below), whose sum is σ = 818092800. Its totient is φ = 56090880.

The previous prime is 227883221. The next prime is 227883323. The reversal of 227883240 is 42388722.

227883240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 227883195 and 227883204.

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, 5925 + ... + 22155.

It is an arithmetic number, because the mean of its divisors is an integer number (6391350).

Almost surely, 2227883240 is an apocalyptic number.

227883240 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 227883240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409046400).

227883240 is an abundant number, since it is smaller than the sum of its proper divisors (590209560).

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

227883240 is a wasteful number, since it uses less digits than its factorization.

227883240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16264 (or 16254 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 227883240 is about 15095.8020654750. The cubic root of 227883240 is about 610.8071729620.

The spelling of 227883240 in words is "two hundred twenty-seven million, eight hundred eighty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 14040 16231 32462 48693 64924 81155 97386 129848 146079 162310 194772 211003 243465 292158 324620 389544 422006 438237 486930 584316 633009 649240 730395 844012 876474 973860 1055015 1168632 1266018 1460790 1688024 1752948 1899027 1947720 2110030 2191185 2532036 2921580 3165045 3505896 3798054 4220060 4382370 5064072 5697081 5843160 6330090 7596108 8440120 8764740 9495135 11394162 12660180 15192216 17529480 18990270 22788324 25320360 28485405 37980540 45576648 56970810 75961080 113941620 227883240