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231201048 = 233132233323
BaseRepresentation
bin11011100011111…
…01100100011000
3121010001020012210
431301331210120
5433141413143
634535235120
75505114351
oct1561754430
9533036183
10231201048
11109563851
1265518aa0
1338b8cb70
14229c4d28
151546e033
hexdc7d918

231201048 has 64 divisors (see below), whose sum is σ = 625443840. Its totient is φ = 70798464.

The previous prime is 231201029. The next prime is 231201053. The reversal of 231201048 is 840102132.

It is a congruent number.

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, 67915 + ... + 71237.

It is an arithmetic number, because the mean of its divisors is an integer number (9772560).

Almost surely, 2231201048 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 231201048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312721920).

231201048 is an abundant number, since it is smaller than the sum of its proper divisors (394242792).

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

231201048 is a wasteful number, since it uses less digits than its factorization.

231201048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3568 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 231201048 is about 15205.2967087131. The cubic root of 231201048 is about 613.7571993907.

It can be divided in two parts, 2 and 31201048, that added together give a triangular number (31201050 = T7899).

The spelling of 231201048 in words is "two hundred thirty-one million, two hundred one thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 223 312 446 669 892 1338 1784 2676 2899 3323 5352 5798 6646 8697 9969 11596 13292 17394 19938 23192 26584 34788 39876 43199 69576 79752 86398 129597 172796 259194 345592 518388 741029 1036776 1482058 2223087 2964116 4446174 5928232 8892348 9633377 17784696 19266754 28900131 38533508 57800262 77067016 115600524 231201048