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1426225680 = 24325113137157
BaseRepresentation
bin101010100000010…
…0111101000010000
310200101200202211100
41111000213220100
510410103210210
6353304544400
750225501235
oct12500475020
93611622740
101426225680
11672081510
12339782100
13199631829
14d75bb78c
15853255c0
hex55027a10

1426225680 has 480 divisors, whose sum is σ = 5574786048. Its totient is φ = 323481600.

The previous prime is 1426225673. The next prime is 1426225681. The reversal of 1426225680 is 865226241.

It is a happy number.

1426225680 is a `hidden beast` number, since 1 + 426 + 225 + 6 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1426225681) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 9084162 + ... + 9084318.

Almost surely, 21426225680 is an apocalyptic number.

1426225680 is a gapful number since it is divisible by the number (10) 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 1426225680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2787393024).

1426225680 is an abundant number, since it is smaller than the sum of its proper divisors (4148560368).

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

1426225680 is a wasteful number, since it uses less digits than its factorization.

1426225680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1426225680 is about 37765.4032151121. The cubic root of 1426225680 is about 1125.6311007147.

The spelling of 1426225680 in words is "one billion, four hundred twenty-six million, two hundred twenty-five thousand, six hundred eighty".