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2213031744 = 2632711411217
BaseRepresentation
bin1000001111101000…
…0010111101000000
312201020012122211200
42003322002331000
514013014003434
61003332541200
7105561313410
oct20372027500
95636178750
102213031744
11a36220560
12519181800
13293645151
1416dcb0640
15ce443199
hex83e82f40

2213031744 has 336 divisors, whose sum is σ = 8108021376. Its totient is φ = 560332800.

The previous prime is 2213031721. The next prime is 2213031773. The reversal of 2213031744 is 4471303122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 1817824 + ... + 1819040.

It is an arithmetic number, because the mean of its divisors is an integer number (24131016).

Almost surely, 22213031744 is an apocalyptic number.

2213031744 is a gapful number since it is divisible by the number (24) 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 2213031744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4054010688).

2213031744 is an abundant number, since it is smaller than the sum of its proper divisors (5894989632).

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

2213031744 is a wasteful number, since it uses less digits than its factorization.

2213031744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2213031744 is about 47042.8713409375. The cubic root of 2213031744 is about 1303.1544193693.

Adding to 2213031744 its reverse (4471303122), we get a palindrome (6684334866).

The spelling of 2213031744 in words is "two billion, two hundred thirteen million, thirty-one thousand, seven hundred forty-four".