Search a number
182163564 = 2232112193171
BaseRepresentation
bin10101101101110…
…01100001101100
3110200202212102200
422312321201230
5333113213224
630024221500
74341236052
oct1266714154
9420685380
10182163564
1193910200
125100a890
132b9808bb
141a29c1d2
1510ed45c9

182163564 has 216 divisors, whose sum is σ = 557706240. Its totient is φ = 49896000.

The previous prime is 182163547. The next prime is 182163577. The reversal of 182163564 is 465361281.

It is a happy number.

182163564 is a `hidden beast` number, since 1 + 82 + 16 + 3 + 564 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2565649 + ... + 2565719.

Almost surely, 2182163564 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 182163564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278853120).

182163564 is an abundant number, since it is smaller than the sum of its proper divisors (375542676).

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

182163564 is a wasteful number, since it uses less digits than its factorization.

182163564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 137 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 182163564 is about 13496.7982870013. The cubic root of 182163564 is about 566.8748265623.

The spelling of 182163564 in words is "one hundred eighty-two million, one hundred sixty-three thousand, five hundred sixty-four".