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228835880 = 23573131283
BaseRepresentation
bin11011010001111…
…00001000101000
3120221121001210222
431220330020220
5432040222010
634412425212
75446034000
oct1550741050
9527531728
10228835880
11108198869
1264778208
1338542460
142256b000
1515153355
hexda3c228

228835880 has 128 divisors (see below), whose sum is σ = 647136000. Its totient is φ = 72366336.

The previous prime is 228835847. The next prime is 228835891. The reversal of 228835880 is 88538822.

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, 177719 + ... + 179001.

It is an arithmetic number, because the mean of its divisors is an integer number (5055750).

Almost surely, 2228835880 is an apocalyptic number.

228835880 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 228835880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323568000).

228835880 is an abundant number, since it is smaller than the sum of its proper divisors (418300120).

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

228835880 is a wasteful number, since it uses less digits than its factorization.

228835880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 44.

The square root of 228835880 is about 15127.3223010551. The cubic root of 228835880 is about 611.6571263508.

The spelling of 228835880 in words is "two hundred twenty-eight million, eight hundred thirty-five thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 49 52 56 65 70 91 98 104 130 140 182 196 245 260 280 343 364 392 455 490 520 637 686 728 910 980 1274 1283 1372 1715 1820 1960 2548 2566 2744 3185 3430 3640 4459 5096 5132 6370 6415 6860 8918 8981 10264 12740 12830 13720 16679 17836 17962 22295 25480 25660 33358 35672 35924 44590 44905 51320 62867 66716 71848 83395 89180 89810 116753 125734 133432 166790 178360 179620 233506 251468 314335 333580 359240 440069 467012 502936 583765 628670 667160 817271 880138 934024 1167530 1257340 1634542 1760276 2200345 2335060 2514680 3269084 3520552 4086355 4400690 4670120 5720897 6538168 8172710 8801380 11441794 16345420 17602760 22883588 28604485 32690840 45767176 57208970 114417940 228835880