Search a number
-
+
212957037 = 3223661893
BaseRepresentation
bin11001011000101…
…11011101101101
3112211201100010200
430230113131231
5414004111122
633044224113
75164050666
oct1454273555
9484640120
10212957037
11aa232857
125b39b039
1335172aa7
14203d636d
1513a685ac
hexcb1776d

212957037 has 6 divisors (see below), whose sum is σ = 307604622. Its totient is φ = 141971352.

The previous prime is 212957033. The next prime is 212957051. The reversal of 212957037 is 730759212.

It can be written as a sum of positive squares in only one way, i.e., 118069956 + 94887081 = 10866^2 + 9741^2 .

It is not a de Polignac number, because 212957037 - 22 = 212957033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212956992 and 212957010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212957033) 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, 11830938 + ... + 11830955.

It is an arithmetic number, because the mean of its divisors is an integer number (51267437).

Almost surely, 2212957037 is an apocalyptic number.

It is an amenable number.

212957037 is a deficient number, since it is larger than the sum of its proper divisors (94647585).

212957037 is a wasteful number, since it uses less digits than its factorization.

212957037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23661899 (or 23661896 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 212957037 is about 14593.0475569704. The cubic root of 212957037 is about 597.1691060721.

The spelling of 212957037 in words is "two hundred twelve million, nine hundred fifty-seven thousand, thirty-seven".

Divisors: 1 3 9 23661893 70985679 212957037