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231248052 = 223272337389
BaseRepresentation
bin11011100100010…
…01000010110100
3121010010121200200
431302021002310
5433144414202
634540240500
75505401400
oct1562110264
9533117620
10231248052
111095960a2
1265540130
1338ba8389
14229d8100
151547ce1c
hexdc890b4

231248052 has 108 divisors (see below), whose sum is σ = 683750340. Its totient is φ = 65705472.

The previous prime is 231248051. The next prime is 231248053. The reversal of 231248052 is 250842132.

It is an interprime number because it is at equal distance from previous prime (231248051) and next prime (231248053).

It can be written as a sum of positive squares in 2 ways, for example, as 58430736 + 172817316 = 7644^2 + 13146^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231248051) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 594274 + ... + 594662.

Almost surely, 2231248052 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 231248052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341875170).

231248052 is an abundant number, since it is smaller than the sum of its proper divisors (452502288).

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

231248052 is a wasteful number, since it uses less digits than its factorization.

231248052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 231248052 is about 15206.8422757652. The cubic root of 231248052 is about 613.7987895836.

The spelling of 231248052 in words is "two hundred thirty-one million, two hundred forty-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 337 389 441 588 674 778 882 1011 1167 1348 1556 1764 2022 2334 2359 2723 3033 3501 4044 4668 4718 5446 6066 7002 7077 8169 9436 10892 12132 14004 14154 16338 16513 19061 21231 24507 28308 32676 33026 38122 42462 49014 49539 57183 66052 76244 84924 98028 99078 114366 131093 148617 171549 198156 228732 262186 297234 343098 393279 524372 594468 686196 786558 917651 1179837 1573116 1835302 2359674 2752953 3670604 4719348 5505906 6423557 8258859 11011812 12847114 16517718 19270671 25694228 33035436 38541342 57812013 77082684 115624026 231248052