Search a number
-
+
229320344 = 231117271127
BaseRepresentation
bin11011010101100…
…10011010011000
3120222111200101002
431222302122120
5432201222334
634431044132
75453122301
oct1552623230
9528450332
10229320344
11108499850
1264970648
1338681b16
14226557a8
15151ebb7e
hexdab2698

229320344 has 96 divisors (see below), whose sum is σ = 509276160. Its totient is φ = 95961600.

The previous prime is 229320341. The next prime is 229320353. The reversal of 229320344 is 443023922.

229320344 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229320341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1805609 + ... + 1805735.

It is an arithmetic number, because the mean of its divisors is an integer number (5304960).

Almost surely, 2229320344 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 229320344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254638080).

229320344 is an abundant number, since it is smaller than the sum of its proper divisors (279955816).

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

229320344 is a wasteful number, since it uses less digits than its factorization.

229320344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 229320344 is about 15143.3267150914. The cubic root of 229320344 is about 612.0884645781.

The spelling of 229320344 in words is "two hundred twenty-nine million, three hundred twenty thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 71 88 127 136 142 187 254 284 289 374 508 568 578 748 781 1016 1156 1207 1397 1496 1562 2159 2312 2414 2794 3124 3179 4318 4828 5588 6248 6358 8636 9017 9656 11176 12716 13277 17272 18034 20519 23749 25432 26554 36068 36703 41038 47498 53108 72136 73406 82076 94996 99187 106216 146812 153289 164152 189992 198374 225709 293624 306578 396748 403733 451418 613156 793496 807466 902836 1226312 1614932 1686179 1805672 2605913 3229864 3372358 5211826 6744716 10423652 13489432 20847304 28665043 57330086 114660172 229320344