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231301332 = 223429103239
BaseRepresentation
bin11011100100101…
…10000011010100
3121010020022210000
431302112003110
5433203120312
634541331300
75506012623
oct1562260324
9533208700
10231301332
11109622129
1265566b30
1338bc66c2
1422a0d6ba
151548dadc
hexdc960d4

231301332 has 120 divisors (see below), whose sum is σ = 634233600. Its totient is φ = 73410624.

The previous prime is 231301321. The next prime is 231301333. The reversal of 231301332 is 233103132.

231301332 is a `hidden beast` number, since 2 + 31 + 301 + 332 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231301333) 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 39 ways as a sum of consecutive naturals, for example, 967669 + ... + 967907.

It is an arithmetic number, because the mean of its divisors is an integer number (5285280).

Almost surely, 2231301332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231301332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317116800).

231301332 is an abundant number, since it is smaller than the sum of its proper divisors (402932268).

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

231301332 is a wasteful number, since it uses less digits than its factorization.

231301332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 231301332 is about 15208.5940178571. The cubic root of 231301332 is about 613.8459261078.

Adding to 231301332 its reverse (233103132), we get a palindrome (464404464).

The spelling of 231301332 in words is "two hundred thirty-one million, three hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 103 108 116 162 174 206 239 261 309 324 348 412 478 522 618 717 783 927 956 1044 1236 1434 1566 1854 2151 2349 2781 2868 2987 3132 3708 4302 4698 5562 5974 6453 6931 8343 8604 8961 9396 11124 11948 12906 13862 16686 17922 19359 20793 24617 25812 26883 27724 33372 35844 38718 41586 49234 53766 62379 73851 77436 80649 83172 98468 107532 124758 147702 161298 187137 221553 241947 249516 295404 322596 374274 443106 483894 561411 664659 713893 748548 886212 967788 1122822 1329318 1427786 1993977 2141679 2245644 2658636 2855572 3987954 4283358 6425037 7975908 8566716 12850074 19275111 25700148 38550222 57825333 77100444 115650666 231301332