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228214200 = 23352419277
BaseRepresentation
bin11011001101001…
…00010110111000
3120220102111000210
431212210112320
5431410323300
634351231120
75440534344
oct1546442670
9526374023
10228214200
11107903785
12645184a0
13383854b6
1422448624
151507e050
hexd9a45b8

228214200 has 96 divisors (see below), whose sum is σ = 724797360. Its totient is φ = 59366400.

The previous prime is 228214199. The next prime is 228214243. The reversal of 228214200 is 2412822.

It is a happy number.

228214200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 19962 + ... + 29238.

Almost surely, 2228214200 is an apocalyptic number.

228214200 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 228214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362398680).

228214200 is an abundant number, since it is smaller than the sum of its proper divisors (496583160).

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

228214200 is a wasteful number, since it uses less digits than its factorization.

228214200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9337 (or 9328 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 228214200 is about 15106.7600762043. The cubic root of 228214200 is about 611.1027263006.

The spelling of 228214200 in words is "two hundred twenty-eight million, two hundred fourteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 41 50 60 75 82 100 120 123 150 164 200 205 246 300 328 410 492 600 615 820 984 1025 1230 1640 2050 2460 3075 4100 4920 6150 8200 9277 12300 18554 24600 27831 37108 46385 55662 74216 92770 111324 139155 185540 222648 231925 278310 371080 380357 463850 556620 695775 760714 927700 1113240 1141071 1391550 1521428 1855400 1901785 2282142 2783100 3042856 3803570 4564284 5566200 5705355 7607140 9128568 9508925 11410710 15214280 19017850 22821420 28526775 38035700 45642840 57053550 76071400 114107100 228214200