Search a number
-
+
22408445000 = 2354292732
BaseRepresentation
bin10100110111101001…
…011011110001001000
32010211200102221200102
4110313221123301020
5331343030220000
614143322424532
71422205432304
oct246751336110
963750387612
1022408445000
119559a8a437
124414662148
13216165c416
141128102d04
158b240e3d5
hex537a5bc48

22408445000 has 180 divisors, whose sum is σ = 55130942295. Its totient is φ = 8535744000.

The previous prime is 22408444987. The next prime is 22408445011. The reversal of 22408445000 is 54480422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 23 ways, for example, as 15392372356 + 7016072644 = 124066^2 + 83762^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105850.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 306964964 + ... + 306965036.

Almost surely, 222408445000 is an apocalyptic number.

22408445000 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 22408445000

22408445000 is an abundant number, since it is smaller than the sum of its proper divisors (32722497295).

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

22408445000 is an frugal number, since it uses more digits than its factorization.

22408445000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 29.

The spelling of 22408445000 in words is "twenty-two billion, four hundred eight million, four hundred forty-five thousand".