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1224485696 = 26723761173
BaseRepresentation
bin100100011111100…
…0010101101000000
310011100002022121002
41020333002231000
510001432020241
6321300551132
742225646100
oct11077025500
93140068532
101224485696
11579210255
122a20b24a8
131668b8565
14b88a5200
157277589b
hex48fc2b40

1224485696 has 168 divisors, whose sum is σ = 2967584616. Its totient is φ = 499322880.

The previous prime is 1224485693. The next prime is 1224485711. The reversal of 1224485696 is 6965844221.

It can be written as a sum of positive squares in 4 ways, for example, as 343583296 + 880902400 = 18536^2 + 29680^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1224485696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1224485693) 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 23 ways as a sum of consecutive naturals, for example, 7077866 + ... + 7078038.

Almost surely, 21224485696 is an apocalyptic number.

1224485696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1224485696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483792308).

1224485696 is an abundant number, since it is smaller than the sum of its proper divisors (1743098920).

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

1224485696 is a wasteful number, since it uses less digits than its factorization.

1224485696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 280 counting only the distinct ones).

The product of its digits is 829440, while the sum is 47.

The square root of 1224485696 is about 34992.6520286760. The cubic root of 1224485696 is about 1069.8377184231.

The spelling of 1224485696 in words is "one billion, two hundred twenty-four million, four hundred eighty-five thousand, six hundred ninety-six".