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234532100 = 2252111012111
BaseRepresentation
bin11011111101010…
…10110100000100
3121100022110120002
431332222310010
5440020011400
635134500432
75545330025
oct1576526404
9540273502
10234532100
11110429490
1266664718
13397880ba
1423210c4c
15158caed5
hexdfaad04

234532100 has 72 divisors (see below), whose sum is σ = 560964096. Its totient is φ = 84400000.

The previous prime is 234532079. The next prime is 234532157. The reversal of 234532100 is 1235432.

It is a happy number.

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

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, 110045 + ... + 112155.

It is an arithmetic number, because the mean of its divisors is an integer number (7791168).

Almost surely, 2234532100 is an apocalyptic number.

234532100 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 234532100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280482048).

234532100 is an abundant number, since it is smaller than the sum of its proper divisors (326431996).

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

234532100 is a wasteful number, since it uses less digits than its factorization.

234532100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 234532100 is about 15314.4408974014. The cubic root of 234532100 is about 616.6907449408.

Adding to 234532100 its reverse (1235432), we get a palindrome (235767532).

The spelling of 234532100 in words is "two hundred thirty-four million, five hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2111 2222 2525 4222 4444 5050 5555 8444 10100 10555 11110 21110 22220 23221 27775 42220 46442 52775 55550 92884 105550 111100 116105 211100 213211 232210 426422 464420 580525 852844 1066055 1161050 2132110 2322100 2345321 4264220 4690642 5330275 9381284 10660550 11726605 21321100 23453210 46906420 58633025 117266050 234532100