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212312222232 = 23311231072291427
BaseRepresentation
bin1100010110111011001…
…0110110101000011000
3202022000101220101020020
43011232302312220120
511434303412102412
6241311311430440
721224203053435
oct3055662665030
9668011811206
10212312222232
118204a794a80
1235192b25420
1317037070986
14a3c1374b8c
1557c931a18c
hex316ecb6a18

212312222232 has 256 divisors, whose sum is σ = 612947865600. Its totient is φ = 60655879680.

The previous prime is 212312222197. The next prime is 212312222251. The reversal of 212312222232 is 232222213212.

212312222232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148781503 + ... + 148782929.

It is an arithmetic number, because the mean of its divisors is an integer number (2394327600).

Almost surely, 2212312222232 is an apocalyptic number.

212312222232 is a gapful number since it is divisible by the number (22) 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 212312222232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306473932800).

212312222232 is an abundant number, since it is smaller than the sum of its proper divisors (400635643368).

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

212312222232 is a wasteful number, since it uses less digits than its factorization.

212312222232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1802 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

Adding to 212312222232 its reverse (232222213212), we get a palindrome (444534435444).

The spelling of 212312222232 in words is "two hundred twelve billion, three hundred twelve million, two hundred twenty-two thousand, two hundred thirty-two".