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212504919 = 3112585413
BaseRepresentation
bin11001010101010…
…01000101010111
3112210212100221120
430222221011113
5413400124134
633030415023
75160155604
oct1452510527
9483770846
10212504919
11a9a54100
125b201473
1335045073
14203196ab
15139c9649
hexcaa9157

212504919 has 12 divisors (see below), whose sum is σ = 311440248. Its totient is φ = 128790640.

The previous prime is 212504899. The next prime is 212504923. The reversal of 212504919 is 919405212.

212504919 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 212504919 - 27 = 212504791 is a prime.

It is a super-2 number, since 2×2125049192 = 90316681198393122, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 212504919.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212500919) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292344 + ... + 293069.

It is an arithmetic number, because the mean of its divisors is an integer number (25953354).

Almost surely, 2212504919 is an apocalyptic number.

212504919 is a deficient number, since it is larger than the sum of its proper divisors (98935329).

212504919 is a wasteful number, since it uses less digits than its factorization.

212504919 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585438 (or 585427 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 212504919 is about 14577.5484564449. The cubic root of 212504919 is about 596.7462004331.

The spelling of 212504919 in words is "two hundred twelve million, five hundred four thousand, nine hundred nineteen".

Divisors: 1 3 11 33 121 363 585413 1756239 6439543 19318629 70834973 212504919