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212892813 = 3375092213
BaseRepresentation
bin11001011000001…
…11110010001101
3112211121002001000
430230013302031
5414000032223
633043010513
75163362520
oct1454076215
9484532030
10212892813
11aa199581
125b369a39
133514c7a3
14203babb7
1513a54543
hexcb07c8d

212892813 has 32 divisors (see below), whose sum is σ = 361324800. Its totient is φ = 121359168.

The previous prime is 212892811. The next prime is 212892821. The reversal of 212892813 is 318298212.

212892813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212892813 - 21 = 212892811 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212892811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95095 + ... + 97307.

It is an arithmetic number, because the mean of its divisors is an integer number (11291400).

Almost surely, 2212892813 is an apocalyptic number.

It is an amenable number.

212892813 is a deficient number, since it is larger than the sum of its proper divisors (148431987).

212892813 is a wasteful number, since it uses less digits than its factorization.

212892813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738 (or 2732 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 212892813 is about 14590.8468911164. The cubic root of 212892813 is about 597.1090682270.

It can be divided in two parts, 212 and 892813, that added together give a square (893025 = 9452).

The spelling of 212892813 in words is "two hundred twelve million, eight hundred ninety-two thousand, eight hundred thirteen".

Divisors: 1 3 7 9 21 27 63 189 509 1527 2213 3563 4581 6639 10689 13743 15491 19917 32067 46473 59751 96201 139419 418257 1126417 3379251 7884919 10137753 23654757 30413259 70964271 212892813