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214152315 = 35131764601
BaseRepresentation
bin11001100001110…
…11010001111011
3112220222001202020
430300323101323
5414310333230
633130005523
75210156526
oct1460732173
9486861666
10214152315
11aa979893
125b8768a3
13354a0b60
1420627bbd
1513c02810
hexcc3b47b

214152315 has 32 divisors (see below), whose sum is σ = 390712896. Its totient is φ = 99225600.

The previous prime is 214152313. The next prime is 214152317. The reversal of 214152315 is 513251412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (214152313) and next prime (214152317).

It is not a de Polignac number, because 214152315 - 21 = 214152313 is a prime.

It is a super-2 number, since 2×2141523152 = 91722428039718450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214152311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28986 + ... + 35615.

It is an arithmetic number, because the mean of its divisors is an integer number (12209778).

Almost surely, 2214152315 is an apocalyptic number.

214152315 is a deficient number, since it is larger than the sum of its proper divisors (176560581).

214152315 is a wasteful number, since it uses less digits than its factorization.

214152315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64639.

The product of its digits is 1200, while the sum is 24.

The square root of 214152315 is about 14633.9439318319. The cubic root of 214152315 is about 598.2842790681.

The spelling of 214152315 in words is "two hundred fourteen million, one hundred fifty-two thousand, three hundred fifteen".

Divisors: 1 3 5 13 15 17 39 51 65 85 195 221 255 663 1105 3315 64601 193803 323005 839813 969015 1098217 2519439 3294651 4199065 5491085 12597195 14276821 16473255 42830463 71384105 214152315