Search a number
-
+
22033412000 = 255347233503
BaseRepresentation
bin10100100001010010…
…110010111110100000
32002212112202022010022
4110201102302332200
5330111023141000
614042204253012
71410002624525
oct244122627640
962775668108
1022033412000
119387317606
12432ab41168
132101a4ccc2
1410d039b14c
1588e52d585
hex5214b2fa0

22033412000 has 192 divisors, whose sum is σ = 55635600384. Its totient is φ = 8571750400.

The previous prime is 22033411987. The next prime is 22033412021. The reversal of 22033412000 is 21433022.

It is a self number, because there is not a number n which added to its sum of digits gives 22033412000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43803749 + ... + 43804251.

It is an arithmetic number, because the mean of its divisors is an integer number (289768752).

Almost surely, 222033412000 is an apocalyptic number.

22033412000 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 22033412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27817800192).

22033412000 is an abundant number, since it is smaller than the sum of its proper divisors (33602188384).

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

22033412000 is a wasteful number, since it uses less digits than its factorization.

22033412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 22033412000 its reverse (21433022), we get a palindrome (22054845022).

The spelling of 22033412000 in words is "twenty-two billion, thirty-three million, four hundred twelve thousand".