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1225246464 = 283213192153
BaseRepresentation
bin100100100000111…
…1100011100000000
310011101111222011200
41021001330130000
510002130341324
6321325141200
742235265061
oct11101743400
93141458150
101225246464
1157968a892
122a23ba800
13166ac3910
14b8a22568
1572875ec9
hex4907c700

1225246464 has 216 divisors, whose sum is σ = 4006526160. Its totient is φ = 356990976.

The previous prime is 1225246441. The next prime is 1225246493. The reversal of 1225246464 is 4646425221.

1225246464 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 2 + 4 + 646 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 568012 + ... + 570164.

Almost surely, 21225246464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1225246464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003263080).

1225246464 is an abundant number, since it is smaller than the sum of its proper divisors (2781279696).

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

1225246464 is a wasteful number, since it uses less digits than its factorization.

1225246464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207 (or 2190 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 1225246464 is about 35003.5207372059. The cubic root of 1225246464 is about 1070.0592344999.

The spelling of 1225246464 in words is "one billion, two hundred twenty-five million, two hundred forty-six thousand, four hundred sixty-four".