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228720 = 2435953
BaseRepresentation
bin110111110101110000
3102121202010
4313311300
524304340
64522520
71641552
oct676560
9377663
10228720
11146928
12b0440
138014b
145d4d2
1547b80
hex37d70

228720 has 40 divisors (see below), whose sum is σ = 709776. Its totient is φ = 60928.

The previous prime is 228713. The next prime is 228731. The reversal of 228720 is 27822.

228720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237 + ... + 716.

2228720 is an apocalyptic number.

228720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228720 is an abundant number, since it is smaller than the sum of its proper divisors (481056).

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

228720 is a wasteful number, since it uses less digits than its factorization.

228720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 228720 is about 478.2467982120. The cubic root of 228720 is about 61.1553863414.

The spelling of 228720 in words is "two hundred twenty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 953 1906 2859 3812 4765 5718 7624 9530 11436 14295 15248 19060 22872 28590 38120 45744 57180 76240 114360 228720