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2241022212 = 223211131729883
BaseRepresentation
bin1000010110010011…
…0100100100000100
312210011212201112200
42011210310210010
514042200202322
61010212514500
7106351242312
oct20544644404
95704781480
102241022212
11a4aaa9180
1252661ba30
13299395560
141738b90b2
15d1b218ac
hex85934904

2241022212 has 288 divisors, whose sum is σ = 7297879680. Its totient is φ = 568995840.

The previous prime is 2241022207. The next prime is 2241022213. The reversal of 2241022212 is 2122201422.

2241022212 is a `hidden beast` number, since 22 + 410 + 22 + 212 = 666.

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 (2241022213) 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 95 ways as a sum of consecutive naturals, for example, 2537523 + ... + 2538405.

It is an arithmetic number, because the mean of its divisors is an integer number (25339860).

Almost surely, 22241022212 is an apocalyptic number.

2241022212 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 2241022212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648939840).

2241022212 is an abundant number, since it is smaller than the sum of its proper divisors (5056857468).

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

2241022212 is a wasteful number, since it uses less digits than its factorization.

2241022212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2241022212 is about 47339.4361183147. The cubic root of 2241022212 is about 1308.6255249525.

Adding to 2241022212 its reverse (2122201422), we get a palindrome (4363223634).

The spelling of 2241022212 in words is "two billion, two hundred forty-one million, twenty-two thousand, two hundred twelve".