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228308352 = 2733716069
BaseRepresentation
bin11011001101110…
…11010110000000
3120220121021011220
431212323112000
5431421331402
634353235040
75441406006
oct1546732600
9526537156
10228308352
11107968498
1264562a80
13383b92cc
1422470a76
151509bdbc
hexd9bb580

228308352 has 64 divisors (see below), whose sum is σ = 622873200. Its totient is φ = 74041344.

The previous prime is 228308321. The next prime is 228308357. The reversal of 228308352 is 253803822.

228308352 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 (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228308357) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6174 + ... + 22242.

Almost surely, 2228308352 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 228308352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311436600).

228308352 is an abundant number, since it is smaller than the sum of its proper divisors (394564848).

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

228308352 is a wasteful number, since it uses less digits than its factorization.

228308352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16123 (or 16111 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 228308352 is about 15109.8759756657. The cubic root of 228308352 is about 611.1867535482.

The spelling of 228308352 in words is "two hundred twenty-eight million, three hundred eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1776 2368 3552 4736 7104 14208 16069 32138 48207 64276 96414 128552 192828 257104 385656 514208 594553 771312 1028416 1189106 1542624 1783659 2056832 2378212 3085248 3567318 4756424 6170496 7134636 9512848 14269272 19025696 28538544 38051392 57077088 76102784 114154176 228308352