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2212639488 = 28321723323
BaseRepresentation
bin1000001111100010…
…0011001100000000
312201012110201202200
42003320203030000
514012413430423
61003320313200
7105555060663
oct20370431400
95635421680
102212639488
11a35a82884
12519012800
13293538747
1416dc0b6da
15ce3b6d43
hex83e23300

2212639488 has 162 divisors, whose sum is σ = 6778968924. Its totient is φ = 693952512.

The previous prime is 2212639483. The next prime is 2212639489. The reversal of 2212639488 is 8849362122.

2212639488 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 639 + 4 + 8 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2212639483) 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 17 ways as a sum of consecutive naturals, for example, 664195 + ... + 667517.

Almost surely, 22212639488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212639488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3389484462).

2212639488 is an abundant number, since it is smaller than the sum of its proper divisors (4566329436).

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

2212639488 is a wasteful number, since it uses less digits than its factorization.

2212639488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3379 (or 3345 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 2212639488 is about 47038.7020229088. The cubic root of 2212639488 is about 1303.0774208738.

The spelling of 2212639488 in words is "two billion, two hundred twelve million, six hundred thirty-nine thousand, four hundred eighty-eight".