Search a number
-
+
22852014000 = 2435337791303
BaseRepresentation
bin10101010010000101…
…100000111110110000
32011222121002120221220
4111102011200332300
5333300103422000
614255325545040
71436202625344
oct252205407660
964877076856
1022852014000
119767403392
124519115180
132202516b9a
14116ada9624
158db32c1a0
hex552160fb0

22852014000 has 320 divisors, whose sum is σ = 76682711040. Its totient is φ = 5849625600.

The previous prime is 22852013993. The next prime is 22852014013. The reversal of 22852014000 is 41025822.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17537349 + ... + 17538651.

It is an arithmetic number, because the mean of its divisors is an integer number (239633472).

Almost surely, 222852014000 is an apocalyptic number.

22852014000 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 22852014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38341355520).

22852014000 is an abundant number, since it is smaller than the sum of its proper divisors (53830697040).

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

22852014000 is a wasteful number, since it uses less digits than its factorization.

22852014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 22852014000 its reverse (41025822), we get a palindrome (22893039822).

The spelling of 22852014000 in words is "twenty-two billion, eight hundred fifty-two million, fourteen thousand".