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212332022320 = 245111727311437
BaseRepresentation
bin1100010110111111111…
…0011000101000110000
3202022001210011022211211
43011233332120220300
511434323444203240
6241313300045504
721224533260565
oct3055776305060
9668053138754
10212332022320
118205a989090
1235199693894
131703b1b40c2
14a3c3c4a86c
1557cae2bbea
hex316ff98a30

212332022320 has 240 divisors, whose sum is σ = 579981816288. Its totient is φ = 71668039680.

The previous prime is 212332022299. The next prime is 212332022321. The reversal of 212332022320 is 23220233212.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 212332022291 and 212332022300.

It is not an unprimeable number, because it can be changed into a prime (212332022321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18559642 + ... + 18571078.

Almost surely, 2212332022320 is an apocalyptic number.

212332022320 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 212332022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289990908144).

212332022320 is an abundant number, since it is smaller than the sum of its proper divisors (367649793968).

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

212332022320 is a wasteful number, since it uses less digits than its factorization.

212332022320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11568 (or 11545 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 212332022320 its reverse (23220233212), we get a palindrome (235552255532).

The spelling of 212332022320 in words is "two hundred twelve billion, three hundred thirty-two million, twenty-two thousand, three hundred twenty".