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86211225 = 32526192
BaseRepresentation
bin1010010001101…
…11101010011001
320000012222120100
411020313222121
5134032224400
612315450013
72064532452
oct510675231
9200188510
1086211225
1144733851
1224a56909
1314b26579
14b642129
15787e100
hex5237a99

86211225 has 27 divisors (see below), whose sum is σ = 154663743. Its totient is φ = 45905040.

The previous prime is 86211197. The next prime is 86211241. The reversal of 86211225 is 52211268.

It is a happy number.

The square root of 86211225 is 9285.

It is a perfect power (a square), and thus also a powerful number.

86211225 is a `hidden beast` number, since 8 + 621 + 12 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31036041 + 55175184 = 5571^2 + 7428^2 .

It is not a de Polignac number, because 86211225 - 25 = 86211193 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 138966 + ... + 139584.

Almost surely, 286211225 is an apocalyptic number.

86211225 is the 9285-th square number.

86211225 is the 4643-rd centered octagonal number.

It is an amenable number.

86211225 is a deficient number, since it is larger than the sum of its proper divisors (68452518).

86211225 is an equidigital number, since it uses as much as digits as its factorization.

86211225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 627 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The cubic root of 86211225 is about 441.7615760594.

It can be divided in two parts, 86211 and 225, that added together give a square (86436 = 2942).

The spelling of 86211225 in words is "eighty-six million, two hundred eleven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 619 1857 3095 5571 9285 15475 27855 46425 139275 383161 1149483 1915805 3448449 5747415 9579025 17242245 28737075 86211225