Search a number
-
+
228235080 = 23358092351
BaseRepresentation
bin11011001101010…
…01011101001000
3120220110112200010
431212221131020
5431412010310
634351511520
75440652253
oct1546513510
9526415603
10228235080
11107918437
12645285a0
1338391b58
142245209a
1515085320
hexd9a9748

228235080 has 64 divisors (see below), whose sum is σ = 685843200. Its totient is φ = 60761600.

The previous prime is 228235061. The next prime is 228235093. The reversal of 228235080 is 80532822.

228235080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2282350803 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95905 + ... + 98255.

It is an arithmetic number, because the mean of its divisors is an integer number (10716300).

Almost surely, 2228235080 is an apocalyptic number.

228235080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228235080 is an abundant number, since it is smaller than the sum of its proper divisors (457608120).

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

228235080 is a wasteful number, since it uses less digits than its factorization.

228235080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3174 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 228235080 is about 15107.4511417380. The cubic root of 228235080 is about 611.1213629379.

The spelling of 228235080 in words is "two hundred twenty-eight million, two hundred thirty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 809 1618 2351 2427 3236 4045 4702 4854 6472 7053 8090 9404 9708 11755 12135 14106 16180 18808 19416 23510 24270 28212 32360 35265 47020 48540 56424 70530 94040 97080 141060 282120 1901959 3803918 5705877 7607836 9509795 11411754 15215672 19019590 22823508 28529385 38039180 45647016 57058770 76078360 114117540 228235080