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231304640 = 2657313331
BaseRepresentation
bin11011100100101…
…10110111000000
3121010020111022112
431302112313000
5433203222030
634541354452
75506025360
oct1562266700
9533214275
10231304640
11109624666
1265568a28
1338bc8068
1422a109a0
151548ea95
hexdc96dc0

231304640 has 112 divisors (see below), whose sum is σ = 649979904. Its totient is φ = 76723200.

The previous prime is 231304639. The next prime is 231304643. The reversal of 231304640 is 46403132.

It is a happy number.

231304640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231304643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67775 + ... + 71105.

It is an arithmetic number, because the mean of its divisors is an integer number (5803392).

Almost surely, 2231304640 is an apocalyptic number.

231304640 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 231304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324989952).

231304640 is an abundant number, since it is smaller than the sum of its proper divisors (418675264).

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

231304640 is a wasteful number, since it uses less digits than its factorization.

231304640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3386 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 231304640 is about 15208.7027717685. The cubic root of 231304640 is about 613.8488524387.

Adding to 231304640 its reverse (46403132), we get a palindrome (277707772).

The spelling of 231304640 in words is "two hundred thirty-one million, three hundred four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 112 124 140 155 160 217 224 248 280 310 320 434 448 496 560 620 868 992 1085 1120 1240 1736 1984 2170 2240 2480 3331 3472 4340 4960 6662 6944 8680 9920 13324 13888 16655 17360 23317 26648 33310 34720 46634 53296 66620 69440 93268 103261 106592 116585 133240 186536 206522 213184 233170 266480 373072 413044 466340 516305 532960 722827 746144 826088 932680 1032610 1065920 1445654 1492288 1652176 1865360 2065220 2891308 3304352 3614135 3730720 4130440 5782616 6608704 7228270 7461440 8260880 11565232 14456540 16521760 23130464 28913080 33043520 46260928 57826160 115652320 231304640