Search a number
-
+
22004200000 = 2655269409
BaseRepresentation
bin10100011111100011…
…010111001001000000
32002210111210011210101
4110133203113021000
5330031033400000
614035242212144
71406166420406
oct243743271100
962714704711
1022004200000
119371885162
1243211b4054
1320c89928b3
1410ca555476
1588bbace6a
hex51f8d7240

22004200000 has 168 divisors, whose sum is σ = 54914063400. Its totient is φ = 8747520000.

The previous prime is 22004199979. The next prime is 22004200013. The reversal of 22004200000 is 240022.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 21996449344 + 7750656 = 148312^2 + 2784^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 22004200000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53799796 + ... + 53800204.

It is an arithmetic number, because the mean of its divisors is an integer number (326869425).

Almost surely, 222004200000 is an apocalyptic number.

22004200000 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 22004200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27457031700).

22004200000 is an abundant number, since it is smaller than the sum of its proper divisors (32909863400).

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

22004200000 is an frugal number, since it uses more digits than its factorization.

22004200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 22004200000 its reverse (240022), we get a palindrome (22004440022).

The spelling of 22004200000 in words is "twenty-two billion, four million, two hundred thousand".