Search a number
-
+
229752300 = 22352839227
BaseRepresentation
bin11011011000110…
…11110111101100
3121000022121220110
431230123313230
5432304033200
634444220020
75456601531
oct1554336754
9530277813
10229752300
11108764338
1264b3a610
13387a360b
1422728d88
1515284b50
hexdb1bdec

229752300 has 72 divisors (see below), whose sum is σ = 672831936. Its totient is φ = 60522560.

The previous prime is 229752293. The next prime is 229752319. The reversal of 229752300 is 3257922.

It is a happy number.

229752300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2297523002 = 105572238710580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20287 + ... + 29513.

It is an arithmetic number, because the mean of its divisors is an integer number (9344888).

Almost surely, 2229752300 is an apocalyptic number.

229752300 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 229752300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336415968).

229752300 is an abundant number, since it is smaller than the sum of its proper divisors (443079636).

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

229752300 is a wasteful number, since it uses less digits than its factorization.

229752300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9327 (or 9320 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 229752300 is about 15157.5822610336. The cubic root of 229752300 is about 612.4725407654.

The spelling of 229752300 in words is "two hundred twenty-nine million, seven hundred fifty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 83 100 150 166 249 300 332 415 498 830 996 1245 1660 2075 2490 4150 4980 6225 8300 9227 12450 18454 24900 27681 36908 46135 55362 92270 110724 138405 184540 230675 276810 461350 553620 692025 765841 922700 1384050 1531682 2297523 2768100 3063364 3829205 4595046 7658410 9190092 11487615 15316820 19146025 22975230 38292050 45950460 57438075 76584100 114876150 229752300