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213451056 = 243272132179
BaseRepresentation
bin11001011100100…
…00000100110000
3112212122102210200
430232100010300
5414120413211
633102555200
75201206200
oct1456200460
9485572720
10213451056
11aa53aa35
125b598b00
13352b6900
14204c4400
1513b14b56
hexcb90130

213451056 has 270 divisors, whose sum is σ = 756664740. Its totient is φ = 55980288.

The previous prime is 213451037. The next prime is 213451057. The reversal of 213451056 is 650154312.

It is a super-2 number, since 2×2134510562 = 91122706615030272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213451057) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1192375 + ... + 1192553.

It is an arithmetic number, because the mean of its divisors is an integer number (2802462).

Almost surely, 2213451056 is an apocalyptic number.

213451056 is a gapful number since it is divisible by the number (26) 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 213451056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378332370).

213451056 is an abundant number, since it is smaller than the sum of its proper divisors (543213684).

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

213451056 is a wasteful number, since it uses less digits than its factorization.

213451056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 213451056 is about 14609.9642710035. The cubic root of 213451056 is about 597.6305216047.

The spelling of 213451056 in words is "two hundred thirteen million, four hundred fifty-one thousand, fifty-six".