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229392324 = 22347214449
BaseRepresentation
bin11011010110000…
…11111111000100
3120222122100010000
431223003333010
5432211023244
634432401300
75453542200
oct1553037704
9528570100
10229392324
11108538937
12649a6230
13386a8805
1422673b00
1515213169
hexdac3fc4

229392324 has 90 divisors (see below), whose sum is σ = 697631550. Its totient is φ = 65536128.

The previous prime is 229392323. The next prime is 229392347. The reversal of 229392324 is 423293922.

It can be written as a sum of positive squares in only one way, i.e., 228614400 + 777924 = 15120^2 + 882^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229392323) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8652 + ... + 23100.

Almost surely, 2229392324 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 229392324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348815775).

229392324 is an abundant number, since it is smaller than the sum of its proper divisors (468239226).

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

229392324 is a wasteful number, since it uses less digits than its factorization.

229392324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14479 (or 14461 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 229392324 is about 15145.7031530398. The cubic root of 229392324 is about 612.1524994823.

The spelling of 229392324 in words is "two hundred twenty-nine million, three hundred ninety-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5292 7938 14449 15876 28898 43347 57796 86694 101143 130041 173388 202286 260082 303429 390123 404572 520164 606858 708001 780246 910287 1170369 1213716 1416002 1560492 1820574 2124003 2340738 2730861 2832004 3641148 4248006 4681476 5461722 6372009 8192583 8496012 10923444 12744018 16385166 19116027 25488036 32770332 38232054 57348081 76464108 114696162 229392324