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213136456 = 23134334733
BaseRepresentation
bin11001011010000…
…11010001001000
3112212001110020211
430231003101020
5414030331311
633052130504
75165426041
oct1455032110
9485043224
10213136456
11aa345635
125b466a34
1335206660
14204418c8
1513aa1821
hexcb43448

213136456 has 32 divisors (see below), whose sum is σ = 431456760. Its totient is φ = 98122752.

The previous prime is 213136453. The next prime is 213136481. The reversal of 213136456 is 654631312.

It can be written as a sum of positive squares in 4 ways, for example, as 65124900 + 148011556 = 8070^2 + 12166^2 .

It is not an unprimeable number, because it can be changed into a prime (213136453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42666 + ... + 47398.

Almost surely, 2213136456 is an apocalyptic number.

213136456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

213136456 is an abundant number, since it is smaller than the sum of its proper divisors (218320304).

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

213136456 is a wasteful number, since it uses less digits than its factorization.

213136456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5185 (or 5181 counting only the distinct ones).

The product of its digits is 12960, while the sum is 31.

The square root of 213136456 is about 14599.1936763645. The cubic root of 213136456 is about 597.3367665065.

Adding to 213136456 its reverse (654631312), we get a palindrome (867767768).

The spelling of 213136456 in words is "two hundred thirteen million, one hundred thirty-six thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 26 52 104 433 866 1732 3464 4733 5629 9466 11258 18932 22516 37864 45032 61529 123058 246116 492232 2049389 4098778 8197556 16395112 26642057 53284114 106568228 213136456