Search a number
-
+
2221750944 = 25357517
BaseRepresentation
bin1000010001101101…
…0011101010100000
312201211121122100000
42010123103222200
514022232012234
61004243500000
7106025400000
oct20433235240
95654548300
102221750944
11a40136406
12520087600
132953a8a3a
14171100000
15d00b6899
hex846d3aa0

2221750944 has 432 divisors, whose sum is σ = 8093711808. Its totient is φ = 597445632.

The previous prime is 2221750919. The next prime is 2221750963. The reversal of 2221750944 is 4490571222.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×22217509442 = 9872354514329782272, which contains 22 as substring.

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 = 2221750899 and 2221750908.

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 71 ways as a sum of consecutive naturals, for example, 130691224 + ... + 130691240.

It is an arithmetic number, because the mean of its divisors is an integer number (18735444).

Almost surely, 22221750944 is an apocalyptic number.

2221750944 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 2221750944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4046855904).

2221750944 is an abundant number, since it is smaller than the sum of its proper divisors (5871960864).

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

2221750944 is an frugal number, since it uses more digits than its factorization.

2221750944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2221750944 is about 47135.4531536507. The cubic root of 2221750944 is about 1304.8636242745.

The spelling of 2221750944 in words is "two billion, two hundred twenty-one million, seven hundred fifty thousand, nine hundred forty-four".