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228607620 = 2235191271579
BaseRepresentation
bin11011010000001…
…00011010000100
3120221011110200220
431220010122010
5432010420440
634403504340
75444063343
oct1550043204
9527143626
10228607620
1110805231a
12646880b0
13384925a7
142250bb5a
151510a8d0
hexda04684

228607620 has 96 divisors (see below), whose sum is σ = 679526400. Its totient is φ = 57262464.

The previous prime is 228607591. The next prime is 228607633. The reversal of 228607620 is 26706822.

228607620 = T4896 + T4897 + ... + T4914.

228607620 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 2×2286076202 = 104522887844128800, which contains 22 as substring.

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, 143991 + ... + 145569.

It is an arithmetic number, because the mean of its divisors is an integer number (7078400).

Almost surely, 2228607620 is an apocalyptic number.

228607620 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 228607620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339763200).

228607620 is an abundant number, since it is smaller than the sum of its proper divisors (450918780).

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

228607620 is a wasteful number, since it uses less digits than its factorization.

228607620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 228607620 is about 15119.7757919885. The cubic root of 228607620 is about 611.4536860756.

The spelling of 228607620 in words is "two hundred twenty-eight million, six hundred seven thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 127 190 228 254 285 380 381 508 570 635 762 1140 1270 1524 1579 1905 2413 2540 3158 3810 4737 4826 6316 7239 7620 7895 9474 9652 12065 14478 15790 18948 23685 24130 28956 30001 31580 36195 47370 48260 60002 72390 90003 94740 120004 144780 150005 180006 200533 300010 360012 401066 450015 600020 601599 802132 900030 1002665 1203198 1800060 2005330 2406396 3007995 3810127 4010660 6015990 7620254 11430381 12031980 15240508 19050635 22860762 38101270 45721524 57151905 76202540 114303810 228607620