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214752825 = 32527136351
BaseRepresentation
bin11001100110011…
…01111000111001
3112222002120111100
430303031320321
5414434042300
633150522013
75215240350
oct1463157071
9488076440
10214752825
11100249a81
125bb06309
13356512a1
1420742997
1513cc0700
hexcccde39

214752825 has 36 divisors (see below), whose sum is σ = 439598848. Its totient is φ = 98172000.

The previous prime is 214752821. The next prime is 214752829. The reversal of 214752825 is 528257412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (214752821) and next prime (214752829).

It is not a de Polignac number, because 214752825 - 22 = 214752821 is a prime.

It is a super-2 number, since 2×2147528252 = 92237551690961250, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 214752825.

It is not an unprimeable number, because it can be changed into a prime (214752821) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66601 + ... + 69750.

Almost surely, 2214752825 is an apocalyptic number.

214752825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

214752825 is an abundant number, since it is smaller than the sum of its proper divisors (224846023).

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

214752825 is a wasteful number, since it uses less digits than its factorization.

214752825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136374 (or 136366 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 214752825 is about 14654.4472771920. The cubic root of 214752825 is about 598.8429786033.

The spelling of 214752825 in words is "two hundred fourteen million, seven hundred fifty-two thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 525 1575 136351 409053 681755 954457 1227159 2045265 2863371 3408775 4772285 6135795 8590113 10226325 14316855 23861425 30678975 42950565 71584275 214752825