Search a number
-
+
231249088 = 2673116651
BaseRepresentation
bin11011100100010…
…01010011000000
3121010010200010001
431302021103000
5433144432323
634540245344
75505404410
oct1562112300
9533120101
10231249088
11109596954
1265540854
1338ba89a5
14229d8640
151547d3ad
hexdc894c0

231249088 has 56 divisors (see below), whose sum is σ = 541389824. Its totient is φ = 95904000.

The previous prime is 231249077. The next prime is 231249089. The reversal of 231249088 is 880942132.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×2312490882 = 106952281401663488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (231249089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5563 + ... + 22213.

Almost surely, 2231249088 is an apocalyptic number.

231249088 is a gapful number since it is divisible by the number (28) 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 231249088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270694912).

231249088 is an abundant number, since it is smaller than the sum of its proper divisors (310140736).

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

231249088 is a wasteful number, since it uses less digits than its factorization.

231249088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16701 (or 16691 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 231249088 is about 15206.8763393407. The cubic root of 231249088 is about 613.7997061962.

The spelling of 231249088 in words is "two hundred thirty-one million, two hundred forty-nine thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 248 434 448 496 868 992 1736 1984 3472 6944 13888 16651 33302 66604 116557 133208 233114 266416 466228 516181 532832 932456 1032362 1065664 1864912 2064724 3613267 3729824 4129448 7226534 7459648 8258896 14453068 16517792 28906136 33035584 57812272 115624544 231249088