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182345226240 = 2113513942703
BaseRepresentation
bin1010100111010010011…
…1110101100000000000
3122102122221201020211210
42221310213311200000
510441420334214430
6215433535010120
716113453564252
oct2516447654000
9572587636753
10182345226240
1170372143391
122b40b069940
131426c792c98
148b7b47bcd2
154b235602b0
hex2a749f5800

182345226240 has 192 divisors, whose sum is σ = 587572876800. Its totient is φ = 48274440192.

The previous prime is 182345226229. The next prime is 182345226257. The reversal of 182345226240 is 42622543281.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4248729 + ... + 4291431.

It is an arithmetic number, because the mean of its divisors is an integer number (3060275400).

Almost surely, 2182345226240 is an apocalyptic number.

182345226240 is a gapful number since it is divisible by the number (10) 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 182345226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293786438400).

182345226240 is an abundant number, since it is smaller than the sum of its proper divisors (405227650560).

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

182345226240 is a wasteful number, since it uses less digits than its factorization.

182345226240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42872 (or 42852 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 182345226240 in words is "one hundred eighty-two billion, three hundred forty-five million, two hundred twenty-six thousand, two hundred forty".