Search a number
-
+
1422385920 = 2835517269
BaseRepresentation
bin101010011000111…
…1110001100000000
310200010110200200000
41110301332030000
510403112322140
6353050400000
750151036504
oct12461761400
93603420600
101422385920
1166a99965a
12338430000
131988b8b97
14d6c9c304
1584d17a30
hex54c7e300

1422385920 has 432 divisors, whose sum is σ = 5423876640. Its totient is φ = 355663872.

The previous prime is 1422385919. The next prime is 1422385973. The reversal of 1422385920 is 295832241.

It is a happy number.

1422385920 is a `hidden beast` number, since 1 + 42 + 23 + 8 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5287546 + ... + 5287814.

It is an arithmetic number, because the mean of its divisors is an integer number (12555270).

Almost surely, 21422385920 is an apocalyptic number.

1422385920 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 1422385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711938320).

1422385920 is an abundant number, since it is smaller than the sum of its proper divisors (4001490720).

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

1422385920 is an equidigital number, since it uses as much as digits as its factorization.

1422385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1422385920 is about 37714.5319472481. The cubic root of 1422385920 is about 1124.6200316803.

The spelling of 1422385920 in words is "one billion, four hundred twenty-two million, three hundred eighty-five thousand, nine hundred twenty".