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213157577 = 1735412
BaseRepresentation
bin11001011010010…
…00011011001001
3112212002112020002
430231020123021
5414032020302
633052412345
75165544443
oct1455103311
9485075202
10213157577
11aa35a496
125b4770b5
1335213159
1420449493
1513aa7c02
hexcb486c9

213157577 has 6 divisors (see below), whose sum is σ = 225760014. Its totient is φ = 200562240.

The previous prime is 213157507. The next prime is 213157601. The reversal of 213157577 is 775751312.

It can be written as a sum of positive squares in 3 ways, for example, as 41783296 + 171374281 = 6464^2 + 13091^2 .

It is not a de Polignac number, because 213157577 - 212 = 213153481 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 213157577.

It is not an unprimeable number, because it can be changed into a prime (213157507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58427 + ... + 61967.

It is an arithmetic number, because the mean of its divisors is an integer number (37626669).

Almost surely, 2213157577 is an apocalyptic number.

It is an amenable number.

213157577 is a deficient number, since it is larger than the sum of its proper divisors (12602437).

213157577 is an frugal number, since it uses more digits than its factorization.

213157577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7099 (or 3558 counting only the distinct ones).

The product of its digits is 51450, while the sum is 38.

The square root of 213157577 is about 14599.9170203121. The cubic root of 213157577 is about 597.3564971107.

The spelling of 213157577 in words is "two hundred thirteen million, one hundred fifty-seven thousand, five hundred seventy-seven".

Divisors: 1 17 3541 60197 12538681 213157577