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213458112 = 2633722521
BaseRepresentation
bin11001011100100…
…01110011000000
3112212122210111000
430232101303000
5414121124422
633103052000
75201235600
oct1456216300
9485583430
10213458112
11aa54526a
125b5a1000
13352b9b9a
14204c6c00
1513b16cac
hexcb91cc0

213458112 has 168 divisors, whose sum is σ = 730270320. Its totient is φ = 60963840.

The previous prime is 213458111. The next prime is 213458123. The reversal of 213458112 is 211854312.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213458111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83412 + ... + 85932.

Almost surely, 2213458112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213458112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365135160).

213458112 is an abundant number, since it is smaller than the sum of its proper divisors (516812208).

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

213458112 is a wasteful number, since it uses less digits than its factorization.

213458112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556 (or 2533 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 213458112 is about 14610.2057480379. The cubic root of 213458112 is about 597.6371067748.

The spelling of 213458112 in words is "two hundred thirteen million, four hundred fifty-eight thousand, one hundred twelve".