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2220274944 = 28321967757
BaseRepresentation
bin1000010001010110…
…1011010100000000
312201201211122122100
42010111223110000
514021342244234
61004152110400
7106010011536
oct20425532400
95651748570
102220274944
11a3a318478
1251b695400
13294cacc74
14170c38156
15cedc4399
hex8456b500

2220274944 has 216 divisors, whose sum is σ = 6848135840. Its totient is φ = 689762304.

The previous prime is 2220274913. The next prime is 2220274949. The reversal of 2220274944 is 4494720222.

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

It is a junction number, because it is equal to n+sod(n) for n = 2220274899 and 2220274908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220274949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2932614 + ... + 2933370.

Almost surely, 22220274944 is an apocalyptic number.

2220274944 is a gapful number since it is divisible by the number (24) 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 2220274944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3424067920).

2220274944 is an abundant number, since it is smaller than the sum of its proper divisors (4627860896).

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

2220274944 is a wasteful number, since it uses less digits than its factorization.

2220274944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2220274944 is about 47119.7935479348. The cubic root of 2220274944 is about 1304.5746021747.

The spelling of 2220274944 in words is "two billion, two hundred twenty million, two hundred seventy-four thousand, nine hundred forty-four".