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228435032 = 23731181727
BaseRepresentation
bin11011001110110…
…10010001011000
3120220211200221202
431213122101120
5431434410112
634400053332
75442444230
oct1547322130
9526750852
10228435032
11107a44691
1264604248
1338431b77
14224a4cc0
15150c46c2
hexd9da458

228435032 has 64 divisors (see below), whose sum is σ = 508784640. Its totient is φ = 94089600.

The previous prime is 228435013. The next prime is 228435041. The reversal of 228435032 is 230534822.

228435032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 228434986 and 228435004.

It is a congruent number.

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, 313853 + ... + 314579.

It is an arithmetic number, because the mean of its divisors is an integer number (7949760).

Almost surely, 2228435032 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 228435032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254392320).

228435032 is an abundant number, since it is smaller than the sum of its proper divisors (280349608).

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

228435032 is a wasteful number, since it uses less digits than its factorization.

228435032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 228435032 is about 15114.0673546203. The cubic root of 228435032 is about 611.2997744131.

Adding to 228435032 its reverse (230534822), we get a palindrome (458969854).

The spelling of 228435032 in words is "two hundred twenty-eight million, four hundred thirty-five thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 181 217 248 362 434 724 727 868 1267 1448 1454 1736 2534 2908 5068 5089 5611 5816 10136 10178 11222 20356 22444 22537 39277 40712 44888 45074 78554 90148 131587 157108 157759 180296 263174 314216 315518 526348 631036 921109 1052696 1262072 1842218 3684436 4079197 7368872 8158394 16316788 28554379 32633576 57108758 114217516 228435032