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233145500 = 22537292297
BaseRepresentation
bin11011110010110…
…00010010011100
3121020201000111112
431321120102130
5434141124000
635045041152
75530463330
oct1571302234
9536630445
10233145500
1110a671735
12660b61b8
13393c0c23
1422d6d7c0
1515705235
hexde5849c

233145500 has 96 divisors (see below), whose sum is σ = 602259840. Its totient is φ = 77145600.

The previous prime is 233145499. The next prime is 233145533. The reversal of 233145500 is 5541332.

233145500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100352 + ... + 102648.

It is an arithmetic number, because the mean of its divisors is an integer number (6273540).

Almost surely, 2233145500 is an apocalyptic number.

233145500 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 233145500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301129920).

233145500 is an abundant number, since it is smaller than the sum of its proper divisors (369114340).

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

233145500 is a wasteful number, since it uses less digits than its factorization.

233145500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2352 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 233145500 is about 15269.1027896206. The cubic root of 233145500 is about 615.4730095380.

Adding to 233145500 its reverse (5541332), we get a palindrome (238686832).

The spelling of 233145500 in words is "two hundred thirty-three million, one hundred forty-five thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 70 100 116 125 140 145 175 203 250 290 350 406 500 580 700 725 812 875 1015 1450 1750 2030 2297 2900 3500 3625 4060 4594 5075 7250 9188 10150 11485 14500 16079 20300 22970 25375 32158 45940 50750 57425 64316 66613 80395 101500 114850 133226 160790 229700 266452 287125 321580 333065 401975 466291 574250 666130 803950 932582 1148500 1332260 1607900 1665325 1865164 2009875 2331455 3330650 4019750 4662910 6661300 8039500 8326625 9325820 11657275 16653250 23314550 33306500 46629100 58286375 116572750 233145500