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2182945248 = 2533111759229
BaseRepresentation
bin1000001000011101…
…0001100111100000
312122010121002221000
42002013101213200
513432313221443
61000340032000
7105044504601
oct20207214740
95563532830
102182945248
11a20241090
1250b092600
1328a33c9a3
14169cbbda8
15cb99d8d3
hex821d19e0

2182945248 has 384 divisors, whose sum is σ = 7511616000. Its totient is φ = 609361920.

The previous prime is 2182945223. The next prime is 2182945253. The reversal of 2182945248 is 8425492812.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9532398 + ... + 9532626.

It is an arithmetic number, because the mean of its divisors is an integer number (19561500).

Almost surely, 22182945248 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 2182945248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3755808000).

2182945248 is an abundant number, since it is smaller than the sum of its proper divisors (5328670752).

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

2182945248 is a wasteful number, since it uses less digits than its factorization.

2182945248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 321 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 2182945248 is about 46721.9996147425. Note that the first 3 decimals coincide. The cubic root of 2182945248 is about 1297.2219271111.

The spelling of 2182945248 in words is "two billion, one hundred eighty-two million, nine hundred forty-five thousand, two hundred forty-eight".