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2243037420 = 2234513731459
BaseRepresentation
bin1000010110110010…
…0000100011101100
312210022200002220000
42011230200203230
514043204144140
61010324024300
7106404334461
oct20554404354
95708602800
102243037420
11a51155238
12527232090
1329991c8a0
14173c81668
15d1dbda30
hex85b208ec

2243037420 has 240 divisors, whose sum is σ = 7686829920. Its totient is φ = 544195584.

The previous prime is 2243037373. The next prime is 2243037427. The reversal of 2243037420 is 247303422.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243037427) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1536651 + ... + 1538109.

It is an arithmetic number, because the mean of its divisors is an integer number (32028458).

Almost surely, 22243037420 is an apocalyptic number.

2243037420 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 2243037420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843414960).

2243037420 is an abundant number, since it is smaller than the sum of its proper divisors (5443792500).

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

2243037420 is a wasteful number, since it uses less digits than its factorization.

2243037420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 2243037420 is about 47360.7159996552. The cubic root of 2243037420 is about 1309.0176618581.

The spelling of 2243037420 in words is "two billion, two hundred forty-three million, thirty-seven thousand, four hundred twenty".