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213112064 = 281175679
BaseRepresentation
bin11001011001111…
…01010100000000
3112212000012210102
430230331110000
5414024041224
633051421532
75165264654
oct1454752400
9485005712
10213112064
11aa329280
125b4548a8
13351c8519
1420436a64
1513a994ae
hexcb3d500

213112064 has 36 divisors (see below), whose sum is σ = 464069760. Its totient is φ = 96867840.

The previous prime is 213112063. The next prime is 213112069. The reversal of 213112064 is 460211312.

213112064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213112061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35024 + ... + 40655.

Almost surely, 2213112064 is an apocalyptic number.

It is an amenable number.

213112064 is an abundant number, since it is smaller than the sum of its proper divisors (250957696).

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

213112064 is an equidigital number, since it uses as much as digits as its factorization.

213112064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75706 (or 75692 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 213112064 is about 14598.3582638597. The cubic root of 213112064 is about 597.3139786104.

Adding to 213112064 its reverse (460211312), we get a palindrome (673323376).

The spelling of 213112064 in words is "two hundred thirteen million, one hundred twelve thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 75679 151358 302716 605432 832469 1210864 1664938 2421728 3329876 4843456 6659752 9686912 13319504 19373824 26639008 53278016 106556032 213112064