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212224143040 = 2657313217673
BaseRepresentation
bin1100010110100110001…
…0110110111011000000
3202021210021011111021221
43011221202312323000
511434113340034130
6241254443524424
721222053311000
oct3055142667300
9667707144257
10212224143040
1182004aa5858
1235169529714
1317021a42100
14a3b37a8000
1557c171c87a
hex31698b6ec0

212224143040 has 672 divisors, whose sum is σ = 676703548800. Its totient is φ = 63120605184.

The previous prime is 212224143029. The next prime is 212224143059. The reversal of 212224143040 is 40341422212.

It is a junction number, because it is equal to n+sod(n) for n = 212224142996 and 212224143014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 315340144 + ... + 315340816.

Almost surely, 2212224143040 is an apocalyptic number.

212224143040 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 212224143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338351774400).

212224143040 is an abundant number, since it is smaller than the sum of its proper divisors (464479405760).

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

212224143040 is a wasteful number, since it uses less digits than its factorization.

212224143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 212224143040 its reverse (40341422212), we get a palindrome (252565565252).

The spelling of 212224143040 in words is "two hundred twelve billion, two hundred twenty-four million, one hundred forty-three thousand, forty".