Search a number
-
+
212981607 = 3223664623
BaseRepresentation
bin11001011000111…
…01011101100111
3112211202120211200
430230131131213
5414010402412
633044533543
75164212426
oct1454353547
9484676750
10212981607
11aa24a263
125b3b12b3
1335181027
14204012bd
1513a709dc
hexcb1d767

212981607 has 6 divisors (see below), whose sum is σ = 307640112. Its totient is φ = 141987732.

The previous prime is 212981603. The next prime is 212981653. The reversal of 212981607 is 706189212.

212981607 is a `hidden beast` number, since 21 + 29 + 8 + 1 + 607 = 666.

It is not a de Polignac number, because 212981607 - 22 = 212981603 is a prime.

It is a super-2 number, since 2×2129816072 = 90722329840604898, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212981603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11832303 + ... + 11832320.

It is an arithmetic number, because the mean of its divisors is an integer number (51273352).

Almost surely, 2212981607 is an apocalyptic number.

212981607 is a deficient number, since it is larger than the sum of its proper divisors (94658505).

212981607 is a wasteful number, since it uses less digits than its factorization.

212981607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23664629 (or 23664626 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 212981607 is about 14593.8893719255. The cubic root of 212981607 is about 597.1920713940.

It can be divided in two parts, 2 and 12981607, that added together give a square (12981609 = 36032).

The spelling of 212981607 in words is "two hundred twelve million, nine hundred eighty-one thousand, six hundred seven".

Divisors: 1 3 9 23664623 70993869 212981607