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214131504 = 2434461073
BaseRepresentation
bin11001100001101…
…10001100110000
3112220221000012110
430300312030300
5414304202004
633125325320
75210042046
oct1460661460
9486830173
10214131504
11aa965194
125b866840
1335494542
1420620396
1513beb589
hexcc36330

214131504 has 20 divisors (see below), whose sum is σ = 553173176. Its totient is φ = 71377152.

The previous prime is 214131499. The next prime is 214131517. The reversal of 214131504 is 405131412.

214131504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2230489 + ... + 2230584.

Almost surely, 2214131504 is an apocalyptic number.

214131504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214131504 is an abundant number, since it is smaller than the sum of its proper divisors (339041672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214131504 is a wasteful number, since it uses less digits than its factorization.

214131504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4461084 (or 4461078 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 214131504 is about 14633.2328622215. The cubic root of 214131504 is about 598.2648983181.

Adding to 214131504 its reverse (405131412), we get a palindrome (619262916).

The spelling of 214131504 in words is "two hundred fourteen million, one hundred thirty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 4461073 8922146 13383219 17844292 26766438 35688584 53532876 71377168 107065752 214131504