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213453625 = 5371167331
BaseRepresentation
bin11001011100100…
…00101100111001
3112212122120022211
430232100230321
5414121004000
633103015121
75201216530
oct1456205471
9485576284
10213453625
11aa541960
125b59a4a1
13352b7b28
14204c5317
1513b157ba
hexcb90b39

213453625 has 64 divisors (see below), whose sum is σ = 338098176. Its totient is φ = 130680000.

The previous prime is 213453623. The next prime is 213453661. The reversal of 213453625 is 526354312.

It is a happy number.

213453625 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 213453625 - 21 = 213453623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213453623) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 644710 + ... + 645040.

It is an arithmetic number, because the mean of its divisors is an integer number (5282784).

Almost surely, 2213453625 is an apocalyptic number.

213453625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213453625 is a deficient number, since it is larger than the sum of its proper divisors (124644551).

213453625 is a wasteful number, since it uses less digits than its factorization.

213453625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 421 counting only the distinct ones).

The product of its digits is 21600, while the sum is 31.

The square root of 213453625 is about 14610.0521901874. The cubic root of 213453625 is about 597.6329191983.

The spelling of 213453625 in words is "two hundred thirteen million, four hundred fifty-three thousand, six hundred twenty-five".

Divisors: 1 5 7 11 25 35 55 67 77 125 175 275 331 335 385 469 737 875 1375 1655 1675 1925 2317 2345 3641 3685 5159 8275 8375 9625 11585 11725 18205 18425 22177 25487 25795 41375 57925 58625 91025 92125 110885 127435 128975 155239 243947 289625 455125 554425 637175 644875 776195 1219735 1707629 2772125 3185875 3880975 6098675 8538145 19404875 30493375 42690725 213453625