Search a number
-
+
182113344 = 2632731247
BaseRepresentation
bin10101101101011…
…01010001000000
3110200200022112200
422312231101000
5333110111334
630023153200
74340636460
oct1266552100
9420608480
10182113344
11938864a6
1250ba5800
132b963a9a
141a287ba0
1510ec4799
hexadad440

182113344 has 252 divisors, whose sum is σ = 629546112. Its totient is φ = 49282560.

The previous prime is 182113291. The next prime is 182113361. The reversal of 182113344 is 443311281.

It is a tau number, because it is divible by the number of its divisors (252).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3874729 + ... + 3874775.

Almost surely, 2182113344 is an apocalyptic number.

182113344 is a gapful number since it is divisible by the number (14) 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 182113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314773056).

182113344 is an abundant number, since it is smaller than the sum of its proper divisors (447432768).

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

182113344 is a wasteful number, since it uses less digits than its factorization.

182113344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 90 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 182113344 is about 13494.9377175295. The cubic root of 182113344 is about 566.8227285655.

It can be divided in two parts, 182 and 113344, that added together give a triangular number (113526 = T476).

The spelling of 182113344 in words is "one hundred eighty-two million, one hundred thirteen thousand, three hundred forty-four".