Search a number
-
+
212452461 = 32135334261
BaseRepresentation
bin11001010100111…
…00010001101101
3112210202200222200
430222130101231
5413341434321
633025332113
75156546634
oct1452342155
9483680880
10212452461
11a9a18751
125b197039
1335027220
142030451b
15139b8d26
hexca9c46d

212452461 has 24 divisors (see below), whose sum is σ = 336726936. Its totient is φ = 128269440.

The previous prime is 212452453. The next prime is 212452469. The reversal of 212452461 is 164254212.

212452461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212452453) and next prime (212452469).

It can be written as a sum of positive squares in 4 ways, for example, as 82355625 + 130096836 = 9075^2 + 11406^2 .

It is not a de Polignac number, because 212452461 - 23 = 212452453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212452469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10930 + ... + 23331.

It is an arithmetic number, because the mean of its divisors is an integer number (14030289).

Almost surely, 2212452461 is an apocalyptic number.

It is an amenable number.

212452461 is a deficient number, since it is larger than the sum of its proper divisors (124274475).

212452461 is a wasteful number, since it uses less digits than its factorization.

212452461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34333 (or 34330 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 212452461 is about 14575.7490716601. The cubic root of 212452461 is about 596.6970930390.

The spelling of 212452461 in words is "two hundred twelve million, four hundred fifty-two thousand, four hundred sixty-one".

Divisors: 1 3 9 13 39 53 117 159 477 689 2067 6201 34261 102783 308349 445393 1336179 1815833 4008537 5447499 16342497 23605829 70817487 212452461