2226683520 has 160 divisors (see below), whose sum is σ = 7952074020. Its totient is φ = 593768448.

The previous prime is 2226683467. The next prime is 2226683533. The reversal of 2226683520 is 253866222.

It can be written as a sum of positive squares in 2 ways, for example, as 1973491776 + 253191744 = 44424^2 + 15912^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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

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 19 ways as a sum of consecutive naturals, for example, 30364 + ... + 73316.

Almost surely, 2^2226683520 is an apocalyptic number.

2226683520 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 2226683520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3976037010).

2226683520 is an abundant number, since it is smaller than the sum of its proper divisors (5725390500).

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

2226683520 is an equidigital number, since it uses as much as digits as its factorization.

2226683520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42984 (or 42963 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2226683520 is about 47187.7475622645. The cubic root of 2226683520 is about 1305.8285661686.

The spelling of 2226683520 in words is "two billion, two hundred twenty-six million, six hundred eighty-three thousand, five hundred twenty".