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228372200 = 235271571039
BaseRepresentation
bin11011001110010…
…10111011101000
3120220201111202122
431213022323220
5431430402300
634354450412
75442063110
oct1547127350
9526644678
10228372200
11107a01461
1264593a08
133840c3a4
142248a040
15150b0c85
hexd9caee8

228372200 has 96 divisors (see below), whose sum is σ = 611270400. Its totient is φ = 77725440.

The previous prime is 228372197. The next prime is 228372233. The reversal of 228372200 is 2273822.

It is a self number, because there is not a number n which added to its sum of digits gives 228372200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219281 + ... + 220319.

It is an arithmetic number, because the mean of its divisors is an integer number (6367400).

Almost surely, 2228372200 is an apocalyptic number.

228372200 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 228372200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305635200).

228372200 is an abundant number, since it is smaller than the sum of its proper divisors (382898200).

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

228372200 is a wasteful number, since it uses less digits than its factorization.

228372200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 228372200 is about 15111.9886183123. The cubic root of 228372200 is about 611.2437224303.

The spelling of 228372200 in words is "two hundred twenty-eight million, three hundred seventy-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 157 175 200 280 314 350 628 700 785 1039 1099 1256 1400 1570 2078 2198 3140 3925 4156 4396 5195 5495 6280 7273 7850 8312 8792 10390 10990 14546 15700 20780 21980 25975 27475 29092 31400 36365 41560 43960 51950 54950 58184 72730 103900 109900 145460 163123 181825 207800 219800 290920 326246 363650 652492 727300 815615 1141861 1304984 1454600 1631230 2283722 3262460 4078075 4567444 5709305 6524920 8156150 9134888 11418610 16312300 22837220 28546525 32624600 45674440 57093050 114186100 228372200