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231460900 = 22521133747
BaseRepresentation
bin11011100101111…
…01000000100100
3121010112102122221
431302331000210
5433223222100
634545002124
75510246056
oct1562750044
9533472587
10231460900
11109721000
1265623344
1338c51218
1422a518d6
15154c101a
hexdcbd024

231460900 has 144 divisors (see below), whose sum is σ = 579462912. Its totient is φ = 80150400.

The previous prime is 231460897. The next prime is 231460909. The reversal of 231460900 is 9064132.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (231460909) 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 47 ways as a sum of consecutive naturals, for example, 4924677 + ... + 4924723.

It is an arithmetic number, because the mean of its divisors is an integer number (4024048).

Almost surely, 2231460900 is an apocalyptic number.

231460900 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 231460900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289731456).

231460900 is an abundant number, since it is smaller than the sum of its proper divisors (348002012).

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

231460900 is a wasteful number, since it uses less digits than its factorization.

231460900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 231460900 is about 15213.8390947190. The cubic root of 231460900 is about 613.9870517558.

The spelling of 231460900 in words is "two hundred thirty-one million, four hundred sixty thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 37 44 47 50 55 74 94 100 110 121 148 185 188 220 235 242 275 370 407 470 484 517 550 605 740 814 925 940 1034 1100 1175 1210 1331 1628 1739 1850 2035 2068 2350 2420 2585 2662 3025 3478 3700 4070 4477 4700 5170 5324 5687 6050 6655 6956 8140 8695 8954 10175 10340 11374 12100 12925 13310 17390 17908 19129 20350 22385 22748 25850 26620 28435 33275 34780 38258 40700 43475 44770 49247 51700 56870 62557 66550 76516 86950 89540 95645 98494 111925 113740 125114 133100 142175 173900 191290 196988 210419 223850 246235 250228 284350 312785 382580 420838 447700 478225 492470 568700 625570 841676 956450 984940 1052095 1231175 1251140 1563925 1912900 2104190 2314609 2462350 3127850 4208380 4629218 4924700 5260475 6255700 9258436 10520950 11573045 21041900 23146090 46292180 57865225 115730450 231460900