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229753428 = 223293971663
BaseRepresentation
bin11011011000111…
…00001001010100
3121000022200110020
431230130021110
5432304102203
634444225140
75456605032
oct1554341124
9530280406
10229753428
11108765173
1264b3b1b0
13387a3c98
1422729552
1515285153
hexdb1c254

229753428 has 48 divisors (see below), whose sum is σ = 556308480. Its totient is φ = 73713024.

The previous prime is 229753421. The next prime is 229753441. The reversal of 229753428 is 824357922.

It is a self number, because there is not a number n which added to its sum of digits gives 229753428.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229753421) by changing a digit.

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, 137325 + ... + 138987.

It is an arithmetic number, because the mean of its divisors is an integer number (11589760).

Almost surely, 2229753428 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 229753428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278154240).

229753428 is an abundant number, since it is smaller than the sum of its proper divisors (326555052).

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

229753428 is a wasteful number, since it uses less digits than its factorization.

229753428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2094 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 229753428 is about 15157.6194700883. The cubic root of 229753428 is about 612.4735431027.

It can be divided in two parts, 229753 and 428, that added together give a triangular number (230181 = T678).

The spelling of 229753428 in words is "two hundred twenty-nine million, seven hundred fifty-three thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 397 794 1191 1588 1663 2382 3326 4764 4989 6652 9978 11513 19956 23026 34539 46052 48227 69078 96454 138156 144681 192908 289362 578724 660211 1320422 1980633 2640844 3961266 7922532 19146119 38292238 57438357 76584476 114876714 229753428