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228819432 = 233193116187
BaseRepresentation
bin11011010001110…
…00000111101000
3120221120020020210
431220320013220
5432034210212
634412221120
75445635022
oct1550700750
9527506223
10228819432
11108187476
126476a7a0
1338537b1a
1422565012
151514d53c
hexda381e8

228819432 has 64 divisors (see below), whose sum is σ = 621619200. Its totient is φ = 69923520.

The previous prime is 228819427. The next prime is 228819457. The reversal of 228819432 is 234918822.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6043 + ... + 22229.

It is an arithmetic number, because the mean of its divisors is an integer number (9712800).

Almost surely, 2228819432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228819432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310809600).

228819432 is an abundant number, since it is smaller than the sum of its proper divisors (392799768).

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

228819432 is a wasteful number, since it uses less digits than its factorization.

228819432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16246 (or 16242 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 228819432 is about 15126.7786392212. The cubic root of 228819432 is about 611.6424713392.

The spelling of 228819432 in words is "two hundred twenty-eight million, eight hundred nineteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 76 93 114 124 152 186 228 248 372 456 589 744 1178 1767 2356 3534 4712 7068 14136 16187 32374 48561 64748 97122 129496 194244 307553 388488 501797 615106 922659 1003594 1230212 1505391 1845318 2007188 2460424 3010782 3690636 4014376 6021564 7381272 9534143 12043128 19068286 28602429 38136572 57204858 76273144 114409716 228819432