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2212319340 = 223257111931271
BaseRepresentation
bin1000001111011101…
…0101000001101100
312201011212110121100
42003313111001230
514012323204330
61003305403100
7105552255420
oct20367250154
95634773540
102212319340
11a358842a0
12518a99490
13293455aca
1416db66b80
15ce352060
hex83dd506c

2212319340 has 576 divisors, whose sum is σ = 9124577280. Its totient is φ = 419904000.

The previous prime is 2212319339. The next prime is 2212319357. The reversal of 2212319340 is 439132122.

It is a happy number.

2212319340 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 319 + 340 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8163405 + ... + 8163675.

It is an arithmetic number, because the mean of its divisors is an integer number (15841280).

Almost surely, 22212319340 is an apocalyptic number.

2212319340 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 2212319340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4562288640).

2212319340 is an abundant number, since it is smaller than the sum of its proper divisors (6912257940).

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

2212319340 is a wasteful number, since it uses less digits than its factorization.

2212319340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2212319340 is about 47035.2988722300. The cubic root of 2212319340 is about 1303.0145701843.

The spelling of 2212319340 in words is "two billion, two hundred twelve million, three hundred nineteen thousand, three hundred forty".