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213315040 = 2551333219
BaseRepresentation
bin11001011011011…
…10110111100000
3112212101112020001
430231232313200
5414102040130
633100025344
75200101511
oct1455566740
9485345201
10213315040
11aa457824
125b532254
1335269a23
142048aa08
1513ad96ca
hexcb6ede0

213315040 has 24 divisors (see below), whose sum is σ = 503957160. Its totient is φ = 85325952.

The previous prime is 213315017. The next prime is 213315049. The reversal of 213315040 is 40513312.

It is a junction number, because it is equal to n+sod(n) for n = 213314999 and 213315017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213315049) 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, 666450 + ... + 666769.

It is an arithmetic number, because the mean of its divisors is an integer number (20998215).

Almost surely, 2213315040 is an apocalyptic number.

213315040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213315040 is an abundant number, since it is smaller than the sum of its proper divisors (290642120).

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

213315040 is a wasteful number, since it uses less digits than its factorization.

213315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333234 (or 1333226 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 213315040 is about 14605.3086239216. The cubic root of 213315040 is about 597.5035532547.

Adding to 213315040 its reverse (40513312), we get a palindrome (253828352).

The spelling of 213315040 in words is "two hundred thirteen million, three hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1333219 2666438 5332876 6666095 10665752 13332190 21331504 26664380 42663008 53328760 106657520 213315040