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213046240 = 255111923277
BaseRepresentation
bin11001011001011…
…01001111100000
3112211212212111111
430230231033200
5414014434430
633050153104
75164602031
oct1454551740
9484785444
10213046240
11aa293880
125b422794
13351a4584
142041aa88
1513a84c2a
hexcb2d3e0

213046240 has 192 divisors, whose sum is σ = 605283840. Its totient is φ = 69949440.

The previous prime is 213046237. The next prime is 213046243. The reversal of 213046240 is 42640312.

It is a happy number.

213046240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213046237) and next prime (213046243).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213046243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 768982 + ... + 769258.

It is an arithmetic number, because the mean of its divisors is an integer number (3152520).

Almost surely, 2213046240 is an apocalyptic number.

213046240 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 213046240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302641920).

213046240 is an abundant number, since it is smaller than the sum of its proper divisors (392237600).

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

213046240 is a wasteful number, since it uses less digits than its factorization.

213046240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 213046240 is about 14596.1035896571. The cubic root of 213046240 is about 597.2524747498.

Adding to 213046240 its reverse (42640312), we get a palindrome (255686552).

The spelling of 213046240 in words is "two hundred thirteen million, forty-six thousand, two hundred forty".