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231442100 = 225223472141
BaseRepresentation
bin11011100101110…
…00011010110100
3121010111110212122
431302320122310
5433222121400
634544335112
75510140211
oct1562703264
9533443778
10231442100
1110970896a
1265614498
1338c457b6
1422a48b08
15154ba685
hexdcb86b4

231442100 has 72 divisors (see below), whose sum is σ = 535465728. Its totient is φ = 86627200.

The previous prime is 231442093. The next prime is 231442109. The reversal of 231442100 is 1244132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231442109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107030 + ... + 109170.

It is an arithmetic number, because the mean of its divisors is an integer number (7437024).

Almost surely, 2231442100 is an apocalyptic number.

231442100 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 231442100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267732864).

231442100 is an abundant number, since it is smaller than the sum of its proper divisors (304023628).

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

231442100 is a wasteful number, since it uses less digits than its factorization.

231442100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 231442100 is about 15213.2212236594. The cubic root of 231442100 is about 613.9704279702.

Adding to 231442100 its reverse (1244132), we get a palindrome (232686232).

The spelling of 231442100 in words is "two hundred thirty-one million, four hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 47 50 92 94 100 115 188 230 235 460 470 575 940 1081 1150 1175 2141 2162 2300 2350 4282 4324 4700 5405 8564 10705 10810 21410 21620 27025 42820 49243 53525 54050 98486 100627 107050 108100 196972 201254 214100 246215 402508 492430 503135 984860 1006270 1231075 2012540 2314421 2462150 2515675 4628842 4924300 5031350 9257684 10062700 11572105 23144210 46288420 57860525 115721050 231442100