Search a number
-
+
12167014230 = 23257193132789
BaseRepresentation
bin10110101010011010…
…11110011101010110
31011101221101100210200
423111031132131112
5144404223423410
65331153201330
7610336625460
oct132515363526
934357340720
1012167014230
115183a64968
122436860246
1311bb93cb07
14835c95130
154b32613c0
hex2d535e756

12167014230 has 192 divisors, whose sum is σ = 39285043200. Its totient is φ = 2549594880.

The previous prime is 12167014169. The next prime is 12167014247. The reversal of 12167014230 is 3241076121.

It is a junction number, because it is equal to n+sod(n) for n = 12167014194 and 12167014203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 354676 + ... + 387464.

It is an arithmetic number, because the mean of its divisors is an integer number (204609600).

Almost surely, 212167014230 is an apocalyptic number.

12167014230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12167014230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19642521600).

12167014230 is an abundant number, since it is smaller than the sum of its proper divisors (27118028970).

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

12167014230 is a wasteful number, since it uses less digits than its factorization.

12167014230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32859 (or 32856 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 12167014230 in words is "twelve billion, one hundred sixty-seven million, fourteen thousand, two hundred thirty".