Search a number
-
+
22387438080 = 2932571271093
BaseRepresentation
bin10100110110011001…
…010011001000000000
32010210012220200121100
4110312121103020000
5331322141004310
614141252254400
71421532040530
oct246631231000
963705820540
1022387438080
119549141647
124409611400
13215a1b58a7
1411253d54c0
158b065eec0
hex536653200

22387438080 has 480 divisors, whose sum is σ = 89389707264. Its totient is φ = 5072191488.

The previous prime is 22387438069. The next prime is 22387438081. The reversal of 22387438080 is 8083478322.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (22387438081) 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 47 ways as a sum of consecutive naturals, for example, 20482014 + ... + 20483106.

Almost surely, 222387438080 is an apocalyptic number.

22387438080 is a gapful number since it is divisible by the number (20) 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 22387438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44694853632).

22387438080 is an abundant number, since it is smaller than the sum of its proper divisors (67002269184).

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

22387438080 is a wasteful number, since it uses less digits than its factorization.

22387438080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 22387438080 in words is "twenty-two billion, three hundred eighty-seven million, four hundred thirty-eight thousand, eighty".