Search a number
-
+
22222424000 = 265371013929
BaseRepresentation
bin10100101100100011…
…110100011111000000
32010100201102002211202
4110230203310133000
5331002420032000
614113035400332
71414456326110
oct245443643700
963321362752
1022222424000
119473a85077
1243822b30a8
132131c5ab1a
14110b51d040
158a0e16dd5
hex52c8f47c0

22222424000 has 224 divisors, whose sum is σ = 63534706560. Its totient is φ = 7541760000.

The previous prime is 22222423943. The next prime is 22222424009. The reversal of 22222424000 is 42422222.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×222224240002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22222424009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5654036 + ... + 5657964.

Almost surely, 222222424000 is an apocalyptic number.

22222424000 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 22222424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31767353280).

22222424000 is an abundant number, since it is smaller than the sum of its proper divisors (41312282560).

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

22222424000 is a wasteful number, since it uses less digits than its factorization.

22222424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4064 (or 4044 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 22222424000 its reverse (42422222), we get a palindrome (22264846222).

The spelling of 22222424000 in words is "twenty-two billion, two hundred twenty-two million, four hundred twenty-four thousand".