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229435344 = 24324138861
BaseRepresentation
bin11011010110011…
…10011111010000
3120222201112010100
431223032133100
5432213412334
634433332400
75454111465
oct1553163720
9528645110
10229435344
11108568196
1264a07100
13386c2278
142268566c
1515220c99
hexdace7d0

229435344 has 60 divisors (see below), whose sum is σ = 657778212. Its totient is φ = 74611200.

The previous prime is 229435343. The next prime is 229435363. The reversal of 229435344 is 443534922.

229435344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 99201600 + 130233744 = 9960^2 + 11412^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 229435299 and 229435308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229435343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13527 + ... + 25334.

Almost surely, 2229435344 is an apocalyptic number.

229435344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

229435344 is an abundant number, since it is smaller than the sum of its proper divisors (428342868).

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

229435344 is a wasteful number, since it uses less digits than its factorization.

229435344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38916 (or 38907 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 229435344 is about 15147.1232912392. The cubic root of 229435344 is about 612.1907645732.

The spelling of 229435344 in words is "two hundred twenty-nine million, four hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 38861 77722 116583 155444 233166 310888 349749 466332 621776 699498 932664 1398996 1593301 1865328 2797992 3186602 4779903 5595984 6373204 9559806 12746408 14339709 19119612 25492816 28679418 38239224 57358836 76478448 114717672 229435344