Search a number
-
+
22082490000 = 243354172283
BaseRepresentation
bin10100100100001110…
…000000111010010000
32002222222002201111000
4110210032000322100
5330211104140000
614051120222000
71411140032214
oct244416007220
962888081430
1022082490000
119401a9863a
12434346a900
13210bc7483c
1410d6ad4944
158939c5000
hex524380e90

22082490000 has 600 divisors, whose sum is σ = 84436346720. Its totient is φ = 5522688000.

The previous prime is 22082489981. The next prime is 22082490007. The reversal of 22082490000 is 9428022.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22082490007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 78029859 + ... + 78030141.

Almost surely, 222082490000 is an apocalyptic number.

22082490000 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 22082490000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42218173360).

22082490000 is an abundant number, since it is smaller than the sum of its proper divisors (62353856720).

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

22082490000 is a wasteful number, since it uses less digits than its factorization.

22082490000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 22082490000 in words is "twenty-two billion, eighty-two million, four hundred ninety thousand".