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2242020132 = 2232112472233
BaseRepresentation
bin1000010110100010…
…1000001100100100
312210020202102102200
42011220220030210
514042424121012
61010250134500
7106362566562
oct20550501444
95706672380
102242020132
11a5061aa00
12526a21430
13299654841
14173a98a32
15d1c6c3dc
hex85a28324

2242020132 has 162 divisors, whose sum is σ = 6392054214. Its totient is φ = 662090880.

The previous prime is 2242020107. The next prime is 2242020133. The reversal of 2242020132 is 2310202422.

It can be written as a sum of positive squares in only one way, i.e., 1626186276 + 615833856 = 40326^2 + 24816^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2242020133) 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 53 ways as a sum of consecutive naturals, for example, 9622288 + ... + 9622520.

Almost surely, 22242020132 is an apocalyptic number.

2242020132 is a gapful number since it is divisible by the number (22) 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 2242020132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3196027107).

2242020132 is an abundant number, since it is smaller than the sum of its proper divisors (4150034082).

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

2242020132 is a wasteful number, since it uses less digits than its factorization.

2242020132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2242020132 is about 47349.9749947136. The cubic root of 2242020132 is about 1308.8197383768.

Adding to 2242020132 its reverse (2310202422), we get a palindrome (4552222554).

The spelling of 2242020132 in words is "two billion, two hundred forty-two million, twenty thousand, one hundred thirty-two".