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2212682832 = 243429113521
BaseRepresentation
bin1000001111100010…
…1101110001010000
312201012112221020000
42003320231301100
514012421322312
61003321250000
7105555331233
oct20370556120
95635487200
102212682832
11a360023a8
12519033900
132935523a9
1416dc1d41a
15ce3c4adc
hex83e2dc50

2212682832 has 200 divisors, whose sum is σ = 6696435240. Its totient is φ = 704471040.

The previous prime is 2212682819. The next prime is 2212682833. The reversal of 2212682832 is 2382862122.

It can be written as a sum of positive squares in 4 ways, for example, as 2178576 + 2210504256 = 1476^2 + 47016^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212682833) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4246732 + ... + 4247252.

Almost surely, 22212682832 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 2212682832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348217620).

2212682832 is an abundant number, since it is smaller than the sum of its proper divisors (4483752408).

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

2212682832 is a wasteful number, since it uses less digits than its factorization.

2212682832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 668 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 2212682832 is about 47039.1627476510. The cubic root of 2212682832 is about 1303.0859295982.

The spelling of 2212682832 in words is "two billion, two hundred twelve million, six hundred eighty-two thousand, eight hundred thirty-two".