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231061264 = 247371593
BaseRepresentation
bin11011100010110…
…11011100010000
3121002210010110121
431301123130100
5433122430024
634532240024
75503663000
oct1561333420
9532703417
10231061264
11109478825
1265470014
1338b41355
142298a000
15154428e4
hexdc5b710

231061264 has 80 divisors (see below), whose sum is σ = 530323200. Its totient is φ = 97466880.

The previous prime is 231061249. The next prime is 231061277. The reversal of 231061264 is 462160132.

231061264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 389352 + ... + 389944.

It is an arithmetic number, because the mean of its divisors is an integer number (6629040).

Almost surely, 2231061264 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 231061264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265161600).

231061264 is an abundant number, since it is smaller than the sum of its proper divisors (299261936).

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

231061264 is an equidigital number, since it uses as much as digits as its factorization.

231061264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 231061264 is about 15200.6994575908. The cubic root of 231061264 is about 613.6334820559.

The spelling of 231061264 in words is "two hundred thirty-one million, sixty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 71 98 112 142 196 284 343 392 497 568 593 686 784 994 1136 1186 1372 1988 2372 2744 3479 3976 4151 4744 5488 6958 7952 8302 9488 13916 16604 24353 27832 29057 33208 42103 48706 55664 58114 66416 84206 97412 116228 168412 194824 203399 232456 294721 336824 389648 406798 464912 589442 673648 813596 1178884 1627192 2063047 2357768 3254384 4126094 4715536 8252188 14441329 16504376 28882658 33008752 57765316 115530632 231061264