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231434500 = 225311291451
BaseRepresentation
bin11011100101101…
…10100100000100
3121010111002110011
431302312210010
5433221401000
634544240004
75510106103
oct1562664404
9533432404
10231434500
11109703190
1265610004
1338c421bb
1422a4603a
15154b82ba
hexdcb6904

231434500 has 96 divisors (see below), whose sum is σ = 570810240. Its totient is φ = 81200000.

The previous prime is 231434479. The next prime is 231434503. The reversal of 231434500 is 5434132.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (231434503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158775 + ... + 160225.

It is an arithmetic number, because the mean of its divisors is an integer number (5945940).

Almost surely, 2231434500 is an apocalyptic number.

231434500 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 231434500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285405120).

231434500 is an abundant number, since it is smaller than the sum of its proper divisors (339375740).

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

231434500 is a wasteful number, since it uses less digits than its factorization.

231434500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 231434500 is about 15212.9714388741. The cubic root of 231434500 is about 613.9637074610.

Adding to 231434500 its reverse (5434132), we get a palindrome (236868632).

The spelling of 231434500 in words is "two hundred thirty-one million, four hundred thirty-four thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 125 145 220 250 275 290 319 500 550 580 638 725 1100 1276 1375 1450 1451 1595 2750 2900 2902 3190 3625 5500 5804 6380 7250 7255 7975 14500 14510 15950 15961 29020 31900 31922 36275 39875 42079 63844 72550 79750 79805 84158 145100 159500 159610 168316 181375 210395 319220 362750 399025 420790 462869 725500 798050 841580 925738 1051975 1596100 1851476 1995125 2103950 2314345 3990250 4207900 4628690 5259875 7980500 9257380 10519750 11571725 21039500 23143450 46286900 57858625 115717250 231434500