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231253050 = 23527273431
BaseRepresentation
bin11011100100010…
…10010000111010
3121010010212112210
431302022100322
5433200044200
634540315550
75505422100
oct1562122072
9533125483
10231253050
11109599926
1265542bb6
1338baa732
14229d9c70
151547e650
hexdc8a43a

231253050 has 144 divisors (see below), whose sum is σ = 677849472. Its totient is φ = 52012800.

The previous prime is 231253003. The next prime is 231253073. The reversal of 231253050 is 50352132.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 536335 + ... + 536765.

It is an arithmetic number, because the mean of its divisors is an integer number (4707288).

Almost surely, 2231253050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231253050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338924736).

231253050 is an abundant number, since it is smaller than the sum of its proper divisors (446596422).

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

231253050 is a wasteful number, since it uses less digits than its factorization.

231253050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 231253050 is about 15207.0066087971. The cubic root of 231253050 is about 613.8032115946.

The spelling of 231253050 in words is "two hundred thirty-one million, two hundred fifty-three thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 73 75 98 105 146 147 150 175 210 219 245 294 350 365 431 438 490 511 525 730 735 862 1022 1050 1095 1225 1293 1470 1533 1825 2155 2190 2450 2555 2586 3017 3066 3577 3650 3675 4310 5110 5475 6034 6465 7154 7350 7665 9051 10731 10775 10950 12775 12930 15085 15330 17885 18102 21119 21462 21550 25550 30170 31463 32325 35770 38325 42238 45255 53655 62926 63357 64650 75425 76650 89425 90510 94389 105595 107310 126714 150850 157315 178850 188778 211190 220241 226275 268275 314630 316785 440482 452550 471945 527975 536550 633570 660723 786575 943890 1055950 1101205 1321446 1541687 1573150 1583925 2202410 2359725 3083374 3167850 3303615 4625061 4719450 5506025 6607230 7708435 9250122 11012050 15416870 16518075 23125305 33036150 38542175 46250610 77084350 115626525 231253050