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214315504 = 24136731531
BaseRepresentation
bin11001100011000…
…11000111110000
3112221021100121021
430301203013300
5414331044004
633133305224
75211436354
oct1461430760
9487240537
10214315504
11aaa80457
125b935214
133552a210
142066b464
1513c35d54
hexcc631f0

214315504 has 40 divisors (see below), whose sum is σ = 448134512. Its totient is φ = 98703360.

The previous prime is 214315501. The next prime is 214315511. The reversal of 214315504 is 405513412.

It is a happy number.

It is a super-2 number, since 2×2143155042 = 91862270509548032, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214315501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139219 + ... + 140749.

Almost surely, 2214315504 is an apocalyptic number.

It is an amenable number.

214315504 is an abundant number, since it is smaller than the sum of its proper divisors (233819008).

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

214315504 is a wasteful number, since it uses less digits than its factorization.

214315504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 214315504 is about 14639.5185713192. The cubic root of 214315504 is about 598.4362092867.

Adding to 214315504 its reverse (405513412), we get a palindrome (619828916).

The spelling of 214315504 in words is "two hundred fourteen million, three hundred fifteen thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 208 673 1346 1531 2692 3062 5384 6124 8749 10768 12248 17498 19903 24496 34996 39806 69992 79612 139984 159224 318448 1030363 2060726 4121452 8242904 13394719 16485808 26789438 53578876 107157752 214315504