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228132282 = 23717417793
BaseRepresentation
bin11011001100100…
…00010110111010
3120220021022122210
431212100112322
5431400213112
634345355550
75440043460
oct1546202672
9526238583
10228132282
11107858184
1264498bb6
1338357121
1422426830
1515064b3c
hexd9905ba

228132282 has 64 divisors (see below), whose sum is σ = 565657344. Its totient is φ = 59842560.

The previous prime is 228132271. The next prime is 228132283. The reversal of 228132282 is 282231822.

228132282 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (228132283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25378 + ... + 33170.

It is an arithmetic number, because the mean of its divisors is an integer number (8838396).

Almost surely, 2228132282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228132282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282828672).

228132282 is an abundant number, since it is smaller than the sum of its proper divisors (337525062).

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

228132282 is a wasteful number, since it uses less digits than its factorization.

228132282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7863.

The product of its digits is 6144, while the sum is 30.

The square root of 228132282 is about 15104.0485301127. The cubic root of 228132282 is about 611.0295986511.

The spelling of 228132282 in words is "two hundred twenty-eight million, one hundred thirty-two thousand, two hundred eighty-two".

Divisors: 1 2 3 6 7 14 17 21 34 41 42 51 82 102 119 123 238 246 287 357 574 697 714 861 1394 1722 2091 4182 4879 7793 9758 14637 15586 23379 29274 46758 54551 109102 132481 163653 264962 319513 327306 397443 639026 794886 927367 958539 1854734 1917078 2236591 2782101 4473182 5431721 5564202 6709773 10863442 13419546 16295163 32590326 38022047 76044094 114066141 228132282