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231301616 = 24713236907
BaseRepresentation
bin11011100100101…
…10000111110000
3121010020100011112
431302112013300
5433203122431
634541332452
75506013510
oct1562260760
9533210145
10231301616
11109622367
1265567128
1338bc6880
1422a0d840
151548dc2b
hexdc961f0

231301616 has 80 divisors (see below), whose sum is σ = 575629824. Its totient is φ = 87512832.

The previous prime is 231301613. The next prime is 231301627. The reversal of 231301616 is 616103132.

It is a happy number.

231301616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2313016162 = 107000875128422912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 231301591 and 231301600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231301613) 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, 30035 + ... + 36941.

Almost surely, 2231301616 is an apocalyptic number.

231301616 is a gapful number since it is divisible by the number (26) 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 231301616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287814912).

231301616 is an abundant number, since it is smaller than the sum of its proper divisors (344328208).

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

231301616 is a wasteful number, since it uses less digits than its factorization.

231301616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6958 (or 6952 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 231301616 is about 15208.6033546805. The cubic root of 231301616 is about 613.8461773417.

Adding to 231301616 its reverse (616103132), we get a palindrome (847404748).

The spelling of 231301616 in words is "two hundred thirty-one million, three hundred one thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 46 52 56 91 92 104 112 161 182 184 208 299 322 364 368 598 644 728 1196 1288 1456 2093 2392 2576 4186 4784 6907 8372 13814 16744 27628 33488 48349 55256 89791 96698 110512 158861 179582 193396 317722 359164 386792 628537 635444 718328 773584 1112027 1257074 1270888 1436656 2065193 2224054 2514148 2541776 4130386 4448108 5028296 8260772 8896216 10056592 14456351 16521544 17792432 28912702 33043088 57825404 115650808 231301616