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214147825 = 5223537027
BaseRepresentation
bin11001100001110…
…10001011110001
3112220221211120221
430300322023301
5414310212300
633125533041
75210140453
oct1460721361
9486854527
10214147825
11aa976481
125b874181
133549bab8
14206262d3
1513c0131a
hexcc3a2f1

214147825 has 24 divisors (see below), whose sum is σ = 282356928. Its totient is φ = 160754880.

The previous prime is 214147811. The next prime is 214147837. The reversal of 214147825 is 528741412.

214147825 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 214147825 - 223 = 205759217 is a prime.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26962 + ... + 33988.

It is an arithmetic number, because the mean of its divisors is an integer number (11764872).

Almost surely, 2214147825 is an apocalyptic number.

214147825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

214147825 is a deficient number, since it is larger than the sum of its proper divisors (68209103).

214147825 is a wasteful number, since it uses less digits than its factorization.

214147825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7113 (or 7108 counting only the distinct ones).

The product of its digits is 17920, while the sum is 34.

The square root of 214147825 is about 14633.7905205726. The cubic root of 214147825 is about 598.2800977526.

The spelling of 214147825 in words is "two hundred fourteen million, one hundred forty-seven thousand, eight hundred twenty-five".

Divisors: 1 5 23 25 53 115 265 575 1219 1325 6095 7027 30475 35135 161621 175675 372431 808105 1862155 4040525 8565913 9310775 42829565 214147825