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228052760 = 235131812423
BaseRepresentation
bin11011001011111…
…00111100011000
3120220010021120112
431211330330120
5431340142020
634343543452
75436262565
oct1545747430
9526107515
10228052760
11107803461
126445ab88
1338329b80
142240586c
151504b2c5
hexd97cf18

228052760 has 64 divisors (see below), whose sum is σ = 555871680. Its totient is φ = 83704320.

The previous prime is 228052729. The next prime is 228052777. The reversal of 228052760 is 67250822.

228052760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2280527602 = 104016122687235200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) 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 15 ways as a sum of consecutive naturals, for example, 92909 + ... + 95331.

It is an arithmetic number, because the mean of its divisors is an integer number (8685495).

Almost surely, 2228052760 is an apocalyptic number.

228052760 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 228052760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277935840).

228052760 is an abundant number, since it is smaller than the sum of its proper divisors (327818920).

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

228052760 is a wasteful number, since it uses less digits than its factorization.

228052760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2628 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 228052760 is about 15101.4158276633. The cubic root of 228052760 is about 610.9585931476.

The spelling of 228052760 in words is "two hundred twenty-eight million, fifty-two thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 181 260 362 520 724 905 1448 1810 2353 2423 3620 4706 4846 7240 9412 9692 11765 12115 18824 19384 23530 24230 31499 47060 48460 62998 94120 96920 125996 157495 251992 314990 438563 629980 877126 1259960 1754252 2192815 3508504 4385630 5701319 8771260 11402638 17542520 22805276 28506595 45610552 57013190 114026380 228052760