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1114263216 = 243411471663
BaseRepresentation
bin100001001101010…
…0100111010110000
32212122200102210000
41002122210322300
54240222410331
6302322310000
736420036543
oct10232447260
92778612700
101114263216
11521a774a0
122711b8300
13149b05b61
14a7db285a
1567c520e6
hex426a4eb0

1114263216 has 200 divisors, whose sum is σ = 3595198464. Its totient is φ = 330272640.

The previous prime is 1114263173. The next prime is 1114263217. The reversal of 1114263216 is 6123624111.

It is a happy number.

1114263216 is a `hidden beast` number, since 1 + 1 + 14 + 2 + 632 + 16 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1114263216.

It is not an unprimeable number, because it can be changed into a prime (1114263217) 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 39 ways as a sum of consecutive naturals, for example, 669201 + ... + 670863.

Almost surely, 21114263216 is an apocalyptic number.

1114263216 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 1114263216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797599232).

1114263216 is an abundant number, since it is smaller than the sum of its proper divisors (2480935248).

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

1114263216 is a wasteful number, since it uses less digits than its factorization.

1114263216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741 (or 1726 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 1114263216 is about 33380.5814209399. The cubic root of 1114263216 is about 1036.7226762036.

Adding to 1114263216 its reverse (6123624111), we get a palindrome (7237887327).

The spelling of 1114263216 in words is "one billion, one hundred fourteen million, two hundred sixty-three thousand, two hundred sixteen".