Search a number
-
+
22431402000 = 2432537533359
BaseRepresentation
bin10100111001000001…
…000000100000010000
32010220021122021202200
4110321001000200100
5331414414331000
614145502443200
71422604525320
oct247101004020
963807567680
1022431402000
119570a3a367
124420293500
132166339747
14112b19b280
158b4446500
hex539040810

22431402000 has 480 divisors, whose sum is σ = 91254159360. Its totient is φ = 5028940800.

The previous prime is 22431401977. The next prime is 22431402137. The reversal of 22431402000 is 20413422.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6676321 + ... + 6679679.

It is an arithmetic number, because the mean of its divisors is an integer number (190112832).

Almost surely, 222431402000 is an apocalyptic number.

22431402000 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 22431402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45627079680).

22431402000 is an abundant number, since it is smaller than the sum of its proper divisors (68822757360).

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

22431402000 is a wasteful number, since it uses less digits than its factorization.

22431402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3448 (or 3429 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22431402000 its reverse (20413422), we get a palindrome (22451815422).

The spelling of 22431402000 in words is "twenty-two billion, four hundred thirty-one million, four hundred two thousand".