Search a number
-
+
22400052000 = 253534873833
BaseRepresentation
bin10100110111001001…
…011010101100100000
32010211002122112122120
4110313021122230200
5331333403131000
614142422504240
71422044205024
oct246711325440
963732575576
1022400052000
119555277677
124411895080
13215c9b1151
141126d5a384
158b18026a0
hex53725ab20

22400052000 has 192 divisors, whose sum is σ = 73552437504. Its totient is φ = 5959526400.

The previous prime is 22400051981. The next prime is 22400052019. The reversal of 22400052000 is 25000422.

It is an interprime number because it is at equal distance from previous prime (22400051981) and next prime (22400052019).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5842084 + ... + 5845916.

It is an arithmetic number, because the mean of its divisors is an integer number (383085612).

Almost surely, 222400052000 is an apocalyptic number.

22400052000 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 22400052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36776218752).

22400052000 is an abundant number, since it is smaller than the sum of its proper divisors (51152385504).

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

22400052000 is a wasteful number, since it uses less digits than its factorization.

22400052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4348 (or 4330 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

Adding to 22400052000 its reverse (25000422), we get a palindrome (22425052422).

The spelling of 22400052000 in words is "twenty-two billion, four hundred million, fifty-two thousand".