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2242983060 = 223251719173223
BaseRepresentation
bin1000010110110001…
…0011010010010100
312210022120100022200
42011230103102110
514043200424220
61010322524500
7106404020133
oct20554232224
95708510280
102242983060
11a5111840a
12527206730
13299900c16
14173c6991a
15d1dac890
hex85b13494

2242983060 has 288 divisors, whose sum is σ = 7661122560. Its totient is φ = 527855616.

The previous prime is 2242983049. The next prime is 2242983101. The reversal of 2242983060 is 603892422.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10058109 + ... + 10058331.

It is an arithmetic number, because the mean of its divisors is an integer number (26601120).

Almost surely, 22242983060 is an apocalyptic number.

2242983060 is a gapful number since it is divisible by the number (20) 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 2242983060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830561280).

2242983060 is an abundant number, since it is smaller than the sum of its proper divisors (5418139500).

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

2242983060 is a wasteful number, since it uses less digits than its factorization.

2242983060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2242983060 is about 47360.1421028274. The cubic root of 2242983060 is about 1309.0070870940.

The spelling of 2242983060 in words is "two billion, two hundred forty-two million, nine hundred eighty-three thousand, sixty".