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1225236465216 = 263217227132
BaseRepresentation
bin10001110101000101110…
…010001100011001000000
311100010112211120101002100
4101311011302030121000
5130033241013341331
62334511005350400
7154343334055251
oct21650562143100
94303484511070
101225236465216
11432690051a15
12179561268400
138b701b0516a
1443432066b28
1521d1051bae6
hex11d45c8c640

1225236465216 has 189 divisors, whose sum is σ = 3732030160131. Its totient is φ = 384246226944.

The previous prime is 1225236465163. The next prime is 1225236465221. The reversal of 1225236465216 is 6125646325221.

The square root of 1225236465216 is 1106904.

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

1225236465216 is a `hidden beast` number, since 1 + 2 + 2 + 52 + 36 + 46 + 521 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 828638807616 + 396597657600 = 910296^2 + 629760^2 .

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, 451615476 + ... + 451618188.

Almost surely, 21225236465216 is an apocalyptic number.

1225236465216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1225236465216 is the 1106904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1225236465216

1225236465216 is an abundant number, since it is smaller than the sum of its proper divisors (2506793694915).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1225236465216 is an frugal number, since it uses more digits than its factorization.

1225236465216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5478 (or 2735 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 1225236465216 in words is "one trillion, two hundred twenty-five billion, two hundred thirty-six million, four hundred sixty-five thousand, two hundred sixteen".