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233430100 = 22522334301
BaseRepresentation
bin11011110100111…
…01110001010100
3121021020110220021
431322131301110
5434224230400
635055114524
75533060141
oct1572356124
9537213807
10233430100
1110a846542
1266212a44
1339490627
14230053c8
151575e71a
hexde9dc54

233430100 has 18 divisors (see below), whose sum is σ = 506543534. Its totient is φ = 93372000.

The previous prime is 233430091. The next prime is 233430107. The reversal of 233430100 is 1034332.

233430100 is digitally balanced in base 3, 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 73205136 + 160224964 = 8556^2 + 12658^2 .

It is a super-2 number, since 2×2334301002 = 108979223172020000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233430107) 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, 1167051 + ... + 1167250.

Almost surely, 2233430100 is an apocalyptic number.

233430100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233430100 is an abundant number, since it is smaller than the sum of its proper divisors (273113434).

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

233430100 is a wasteful number, since it uses less digits than its factorization.

233430100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334315 (or 2334308 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 233430100 is about 15278.4194208694. The cubic root of 233430100 is about 615.7233430463.

Adding to 233430100 its reverse (1034332), we get a palindrome (234464432).

The spelling of 233430100 in words is "two hundred thirty-three million, four hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2334301 4668602 9337204 11671505 23343010 46686020 58357525 116715050 233430100