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7338492225 = 325257112
BaseRepresentation
bin1101101010110100…
…01000000101000001
3200221102200000211100
412311122020011001
5110012123222400
63212105205013
7346566104031
oct66532100501
920842600740
107338492225
113126429909
121509790769
138cc4901bc
144d88ad8c1
152ce3cd100
hex1b5688141

7338492225 has 27 divisors (see below), whose sum is σ = 13146356899. Its totient is φ = 3913177200.

The previous prime is 7338492179. The next prime is 7338492229. The reversal of 7338492225 is 5222948337.

The square root of 7338492225 is 85665.

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

7338492225 is a `hidden beast` number, since 7 + 338 + 4 + 92 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2641857201 + 4696635024 = 51399^2 + 68532^2 .

It is not a de Polignac number, because 7338492225 - 213 = 7338484033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7338492229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1282120 + ... + 1287830.

Almost surely, 27338492225 is an apocalyptic number.

7338492225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7338492225 is the 85665-th square number.

7338492225 is the 42833-rd centered octagonal number.

It is an amenable number.

7338492225 is a deficient number, since it is larger than the sum of its proper divisors (5807864674).

7338492225 is an frugal number, since it uses more digits than its factorization.

7338492225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11438 (or 5719 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The cubic root of 7338492225 is about 1943.2810373207.

The spelling of 7338492225 in words is "seven billion, three hundred thirty-eight million, four hundred ninety-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 5711 17133 28555 51399 85665 142775 256995 428325 1284975 32615521 97846563 163077605 293539689 489232815 815388025 1467698445 2446164075 7338492225