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228132540 = 223251267403
BaseRepresentation
bin11011001100100…
…00011010111100
3120220021100000100
431212100122330
5431400220130
634345401100
75440044306
oct1546203274
9526240010
10228132540
11107858399
1264499190
133835728c
1422426976
1515064c60
hexd9906bc

228132540 has 36 divisors (see below), whose sum is σ = 692002584. Its totient is φ = 60835296.

The previous prime is 228132539. The next prime is 228132547. The reversal of 228132540 is 45231822.

228132540 is digitally balanced in base 2, 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228132547) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 633522 + ... + 633881.

It is an arithmetic number, because the mean of its divisors is an integer number (19222294).

Almost surely, 2228132540 is an apocalyptic number.

228132540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228132540 is an abundant number, since it is smaller than the sum of its proper divisors (463870044).

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

228132540 is a wasteful number, since it uses less digits than its factorization.

228132540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267418 (or 1267413 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 228132540 is about 15104.0570708668. The cubic root of 228132540 is about 611.0298289935.

The spelling of 228132540 in words is "two hundred twenty-eight million, one hundred thirty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1267403 2534806 3802209 5069612 6337015 7604418 11406627 12674030 15208836 19011045 22813254 25348060 38022090 45626508 57033135 76044180 114066270 228132540