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213035064 = 23311806951
BaseRepresentation
bin11001011001010…
…10100000111000
3112211212022011120
430230222200320
5414014110224
633050025240
75164524324
oct1454524070
9484768146
10213035064
11aa286440
125b418220
133519c468
1420416984
1513a81779
hexcb2a838

213035064 has 32 divisors (see below), whose sum is σ = 581005440. Its totient is φ = 64556000.

The previous prime is 213035063. The next prime is 213035077. The reversal of 213035064 is 460530312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213035063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 403212 + ... + 403739.

It is an arithmetic number, because the mean of its divisors is an integer number (18156420).

Almost surely, 2213035064 is an apocalyptic number.

213035064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213035064 is an abundant number, since it is smaller than the sum of its proper divisors (367970376).

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

213035064 is a wasteful number, since it uses less digits than its factorization.

213035064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806971 (or 806967 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 213035064 is about 14595.7207427383. The cubic root of 213035064 is about 597.2420309914.

Adding to 213035064 its reverse (460530312), we get a palindrome (673565376).

The spelling of 213035064 in words is "two hundred thirteen million, thirty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 806951 1613902 2420853 3227804 4841706 6455608 8876461 9683412 17752922 19366824 26629383 35505844 53258766 71011688 106517532 213035064