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232234100 = 225271033221
BaseRepresentation
bin11011101011110…
…01110001110100
3121011222201021222
431311321301310
5433422442400
635013325512
75516646230
oct1565716164
9534881258
10232234100
1110a0a9a0a
1265936898
1339162137
1422bb35c0
15155c5185
hexdd79c74

232234100 has 72 divisors (see below), whose sum is σ = 581712768. Its totient is φ = 78825600.

The previous prime is 232234091. The next prime is 232234139. The reversal of 232234100 is 1432232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70490 + ... + 73710.

It is an arithmetic number, because the mean of its divisors is an integer number (8079344).

Almost surely, 2232234100 is an apocalyptic number.

232234100 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 232234100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290856384).

232234100 is an abundant number, since it is smaller than the sum of its proper divisors (349478668).

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

232234100 is a wasteful number, since it uses less digits than its factorization.

232234100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3345 (or 3338 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 232234100 is about 15239.2289831212. The cubic root of 232234100 is about 614.6699707668.

Adding to 232234100 its reverse (1432232), we get a palindrome (233666332).

The spelling of 232234100 in words is "two hundred thirty-two million, two hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 103 140 175 206 350 412 515 700 721 1030 1442 2060 2575 2884 3221 3605 5150 6442 7210 10300 12884 14420 16105 18025 22547 32210 36050 45094 64420 72100 80525 90188 112735 161050 225470 322100 331763 450940 563675 663526 1127350 1327052 1658815 2254700 2322341 3317630 4644682 6635260 8294075 9289364 11611705 16588150 23223410 33176300 46446820 58058525 116117050 232234100