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212401332 = 2233111317809
BaseRepresentation
bin11001010100011…
…11110010110100
3112210200002212000
430222033302310
5413333320312
633024255300
75156244603
oct1452176264
9483602760
10212401332
11a99932a0
125b171530
1335009b80
14202cda3a
15139a8adc
hexca8fcb4

212401332 has 192 divisors, whose sum is σ = 685843200. Its totient is φ = 55848960.

The previous prime is 212401309. The next prime is 212401339. The reversal of 212401332 is 233104212.

It is a super-2 number, since 2×2124013322 = 90228651670748448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212401339) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 262144 + ... + 262952.

It is an arithmetic number, because the mean of its divisors is an integer number (3572100).

Almost surely, 2212401332 is an apocalyptic number.

212401332 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 212401332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342921600).

212401332 is an abundant number, since it is smaller than the sum of its proper divisors (473441868).

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

212401332 is a wasteful number, since it uses less digits than its factorization.

212401332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 212401332 is about 14573.9950596945. The cubic root of 212401332 is about 596.6492219792.

Adding to 212401332 its reverse (233104212), we get a palindrome (445505544).

The spelling of 212401332 in words is "two hundred twelve million, four hundred one thousand, three hundred thirty-two".