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86202225 = 345242569
BaseRepresentation
bin1010010001101…
…01011101110001
320000012112020000
411020311131301
5134031432400
612315340213
72064464304
oct510653561
9200175200
1086202225
114472800a
1224a51669
1314b22445
14b63cb3b
15787b600
hex5235771

86202225 has 30 divisors (see below), whose sum is σ = 159680070. Its totient is φ = 45973440.

The previous prime is 86202217. The next prime is 86202253. The reversal of 86202225 is 52220268.

It can be written as a sum of positive squares in 3 ways, for example, as 4064256 + 82137969 = 2016^2 + 9063^2 .

It is not a de Polignac number, because 86202225 - 23 = 86202217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 19260 + ... + 23309.

It is an arithmetic number, because the mean of its divisors is an integer number (5322669).

Almost surely, 286202225 is an apocalyptic number.

It is an amenable number.

86202225 is a deficient number, since it is larger than the sum of its proper divisors (73477845).

86202225 is a wasteful number, since it uses less digits than its factorization.

86202225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42591 (or 42577 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 86202225 is about 9284.5153346850. The cubic root of 86202225 is about 441.7462029934.

The spelling of 86202225 in words is "eighty-six million, two hundred two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 42569 127707 212845 383121 638535 1064225 1149363 1915605 3192675 3448089 5746815 9578025 17240445 28734075 86202225