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234072200 = 23521170361
BaseRepresentation
bin11011111001110…
…10100010001000
3121022110002200202
431330322202020
5434410302300
635120551332
75541403145
oct1574724210
9538402622
10234072200
111101449aa
1266482548
133965697b
14231313cc
1515839ad5
hexdf3a888

234072200 has 24 divisors (see below), whose sum is σ = 544218330. Its totient is φ = 93628800.

The previous prime is 234072199. The next prime is 234072203. The reversal of 234072200 is 2270432.

It is a happy number.

234072200 is digitally balanced in base 2, 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 3 ways, for example, as 204890596 + 29181604 = 14314^2 + 5402^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (234072203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 584981 + ... + 585380.

Almost surely, 2234072200 is an apocalyptic number.

234072200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234072200 is an abundant number, since it is smaller than the sum of its proper divisors (310146130).

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

234072200 is a wasteful number, since it uses less digits than its factorization.

234072200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170377 (or 1170368 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 234072200 is about 15299.4182895952. The cubic root of 234072200 is about 616.2873862831.

The spelling of 234072200 in words is "two hundred thirty-four million, seventy-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1170361 2340722 4681444 5851805 9362888 11703610 23407220 29259025 46814440 58518050 117036100 234072200