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229505420 = 225292691471
BaseRepresentation
bin11011010110111…
…11100110001100
3120222212002020202
431223133212030
5432223133140
634435033032
75454523004
oct1553374614
9528762222
10229505420
11108605901
1264a3b778
1338718131
14226a3004
1515236915
hexdadf98c

229505420 has 48 divisors (see below), whose sum is σ = 500774400. Its totient is φ = 88247040.

The previous prime is 229505407. The next prime is 229505429. The reversal of 229505420 is 24505922.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (229505429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155285 + ... + 156755.

It is an arithmetic number, because the mean of its divisors is an integer number (10432800).

Almost surely, 2229505420 is an apocalyptic number.

229505420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229505420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250387200).

229505420 is an abundant number, since it is smaller than the sum of its proper divisors (271268980).

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

229505420 is a wasteful number, since it uses less digits than its factorization.

229505420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 229505420 is about 15149.4362931431. The cubic root of 229505420 is about 612.2530849818.

The spelling of 229505420 in words is "two hundred twenty-nine million, five hundred five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 269 290 538 580 1076 1345 1471 2690 2942 5380 5884 7355 7801 14710 15602 29420 31204 39005 42659 78010 85318 156020 170636 213295 395699 426590 791398 853180 1582796 1978495 3956990 7913980 11475271 22950542 45901084 57376355 114752710 229505420