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2212434240 = 263537199313
BaseRepresentation
bin1000001111011111…
…0001000101000000
312201012002022012220
42003313301011000
514012340343430
61003312051040
7105553244412
oct20367610500
95635068186
102212434240
11a35952655
12518b33a80
132934961b3
1416db969b2
15ce376110
hex83df1140

2212434240 has 224 divisors, whose sum is σ = 7273747200. Its totient is φ = 569327616.

The previous prime is 2212434223. The next prime is 2212434283. The reversal of 2212434240 is 424342122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2212434240.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 7068324 + ... + 7068636.

Almost surely, 22212434240 is an apocalyptic number.

2212434240 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 2212434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3636873600).

2212434240 is an abundant number, since it is smaller than the sum of its proper divisors (5061312960).

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

2212434240 is a wasteful number, since it uses less digits than its factorization.

2212434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2212434240 is about 47036.5202794594. The cubic root of 2212434240 is about 1303.0371277750.

Adding to 2212434240 its reverse (424342122), we get a palindrome (2636776362).

The spelling of 2212434240 in words is "two billion, two hundred twelve million, four hundred thirty-four thousand, two hundred forty".