Search a number
-
+
22378573728 = 2538715227
BaseRepresentation
bin10100110101110111…
…011110111110100000
32010202121020100000000
4110311313132332200
5331312403324403
614140334300000
71421363511120
oct246567367640
963677210000
1022378573728
119544137735
124406657600
132158400c04
141124168c80
158ae9ad7a3
hex535ddefa0

22378573728 has 216 divisors, whose sum is σ = 75528808992. Its totient is φ = 6393458304.

The previous prime is 22378573699. The next prime is 22378573751. The reversal of 22378573728 is 82737587322.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1462051 + ... + 1477277.

It is an arithmetic number, because the mean of its divisors is an integer number (349670412).

Almost surely, 222378573728 is an apocalyptic number.

22378573728 is a gapful number since it is divisible by the number (28) 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 22378573728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37764404496).

22378573728 is an abundant number, since it is smaller than the sum of its proper divisors (53150235264).

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

22378573728 is an frugal number, since it uses more digits than its factorization.

22378573728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15268 (or 15239 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The spelling of 22378573728 in words is "twenty-two billion, three hundred seventy-eight million, five hundred seventy-three thousand, seven hundred twenty-eight".