Search a number
-
+
231104412 = 2232711263317
BaseRepresentation
bin11011100011001…
…01111110011100
3121002212022122200
431301211332130
5433130320122
634533211500
75504232540
oct1561457634
9532768580
10231104412
111094a8190
1265490b90
1338b57b96
142299ba20
15154505ac
hexdc65f9c

231104412 has 144 divisors (see below), whose sum is σ = 733404672. Its totient is φ = 59610240.

The previous prime is 231104369. The next prime is 231104441. The reversal of 231104412 is 214401132.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 728878 + ... + 729194.

It is an arithmetic number, because the mean of its divisors is an integer number (5093088).

Almost surely, 2231104412 is an apocalyptic number.

231104412 is a gapful number since it is divisible by the number (22) 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 231104412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366702336).

231104412 is an abundant number, since it is smaller than the sum of its proper divisors (502300260).

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

231104412 is a wasteful number, since it uses less digits than its factorization.

231104412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 231104412 is about 15202.1186681331. The cubic root of 231104412 is about 613.6716759806.

Adding to 231104412 its reverse (214401132), we get a palindrome (445505544).

The spelling of 231104412 in words is "two hundred thirty-one million, one hundred four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 263 308 317 396 462 526 634 693 789 924 951 1052 1268 1386 1578 1841 1902 2219 2367 2772 2853 2893 3156 3487 3682 3804 4438 4734 5523 5706 5786 6657 6974 7364 8679 8876 9468 10461 11046 11412 11572 13314 13948 16569 17358 19971 20251 20922 22092 24409 26037 26628 31383 33138 34716 39942 40502 41844 48818 52074 60753 62766 66276 73227 79884 81004 83371 97636 104148 121506 125532 146454 166742 182259 219681 243012 250113 292908 333484 364518 439362 500226 583597 729036 750339 878724 917081 1000452 1167194 1500678 1750791 1834162 2334388 2751243 3001356 3501582 3668324 5252373 5502486 6419567 7003164 8253729 10504746 11004972 12839134 16507458 19258701 21009492 25678268 33014916 38517402 57776103 77034804 115552206 231104412