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104346225 = 34522272
BaseRepresentation
bin1100011100000…
…11001001110001
321021100100010000
412032003021301
5203203034400
614204300213
72404633254
oct616031161
9237310100
10104346225
115399a955
122ab41669
1318805b39
14dc0309b
159262600
hex6383271

104346225 has 45 divisors (see below), whose sum is σ = 194140507. Its totient is φ = 55406160.

The previous prime is 104346199. The next prime is 104346227. The reversal of 104346225 is 522643401.

The square root of 104346225 is 10215.

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

104346225 is a `hidden beast` number, since 1 + 0 + 4 + 34 + 622 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37564641 + 66781584 = 6129^2 + 8172^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 104346225 - 27 = 104346097 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104346227) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 459562 + ... + 459788.

Almost surely, 2104346225 is an apocalyptic number.

104346225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

104346225 is the 10215-th square number.

104346225 is the 5108-th centered octagonal number.

It is an amenable number.

104346225 is a deficient number, since it is larger than the sum of its proper divisors (89794282).

104346225 is an frugal number, since it uses more digits than its factorization.

104346225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The cubic root of 104346225 is about 470.7882126252.

Adding to 104346225 its reverse (522643401), we get a palindrome (626989626).

The spelling of 104346225 in words is "one hundred four million, three hundred forty-six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 227 405 675 681 1135 2025 2043 3405 5675 6129 10215 17025 18387 30645 51075 51529 91935 153225 154587 257645 459675 463761 772935 1288225 1391283 2318805 3864675 4173849 6956415 11594025 20869245 34782075 104346225