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231331464 = 23347133923
BaseRepresentation
bin11011100100111…
…01011010001000
3121010021212010000
431302131122020
5433210101324
634542123000
75506166520
oct1562353210
9533255100
10231331464
11109642831
1265580460
1338c07330
1422a1a680
15154979c9
hexdc9d688

231331464 has 160 divisors (see below), whose sum is σ = 797670720. Its totient is φ = 60994944.

The previous prime is 231331439. The next prime is 231331469. The reversal of 231331464 is 464133132.

231331464 = T405 + T406 + ... + T1132.

231331464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231331469) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 57007 + ... + 60929.

It is an arithmetic number, because the mean of its divisors is an integer number (4985442).

Almost surely, 2231331464 is an apocalyptic number.

231331464 is a gapful number since it is divisible by the number (24) 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 231331464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398835360).

231331464 is an abundant number, since it is smaller than the sum of its proper divisors (566339256).

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

231331464 is a wasteful number, since it uses less digits than its factorization.

231331464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3961 (or 3948 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 231331464 is about 15209.5846097124. The cubic root of 231331464 is about 613.8725805189.

Adding to 231331464 its reverse (464133132), we get a palindrome (695464596).

The spelling of 231331464 in words is "two hundred thirty-one million, three hundred thirty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 81 84 91 104 108 117 126 156 162 168 182 189 216 234 252 273 312 324 351 364 378 468 504 546 567 648 702 728 756 819 936 1053 1092 1134 1404 1512 1638 2106 2184 2268 2457 2808 3276 3923 4212 4536 4914 6552 7371 7846 8424 9828 11769 14742 15692 19656 23538 27461 29484 31384 35307 47076 50999 54922 58968 70614 82383 94152 101998 105921 109844 141228 152997 164766 203996 211842 219688 247149 282456 305994 317763 329532 356993 407992 423684 458991 494298 611988 635526 659064 713986 741447 847368 917982 988596 1070979 1223976 1271052 1376973 1427972 1482894 1835964 1977192 2141958 2224341 2542104 2753946 2855944 2965788 3212937 3671928 4130919 4283916 4448682 5507892 5931576 6425874 8261838 8567832 8897364 9638811 11015784 12851748 16523676 17794728 19277622 25703496 28916433 33047352 38555244 57832866 77110488 115665732 231331464