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228690180 = 223253593539
BaseRepresentation
bin11011010000110…
…00100100000100
3120221022122221200
431220120210010
5432021041210
634405342500
75444556135
oct1550304404
9527278850
10228690180
111080a9354
1264707a30
13384c1044
142252dc8c
15151250c0
hexda18904

228690180 has 72 divisors (see below), whose sum is σ = 695822400. Its totient is φ = 60796992.

The previous prime is 228690157. The next prime is 228690223. The reversal of 228690180 is 81096822.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 62851 + ... + 66389.

It is an arithmetic number, because the mean of its divisors is an integer number (9664200).

Almost surely, 2228690180 is an apocalyptic number.

228690180 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 228690180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347911200).

228690180 is an abundant number, since it is smaller than the sum of its proper divisors (467132220).

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

228690180 is a wasteful number, since it uses less digits than its factorization.

228690180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3913 (or 3908 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 228690180 is about 15122.5057447501. The cubic root of 228690180 is about 611.5272845855.

The spelling of 228690180 in words is "two hundred twenty-eight million, six hundred ninety thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 359 718 1077 1436 1795 2154 3231 3539 3590 4308 5385 6462 7078 7180 10617 10770 12924 14156 16155 17695 21234 21540 31851 32310 35390 42468 53085 63702 64620 70780 106170 127404 159255 212340 318510 637020 1270501 2541002 3811503 5082004 6352505 7623006 11434509 12705010 15246012 19057515 22869018 25410020 38115030 45738036 57172545 76230060 114345090 228690180