Search a number
-
+
224114204000 = 25532913811399
BaseRepresentation
bin1101000010111000111…
…1110101110101100000
3210102110220102011122002
43100232033311311200
512132441214012000
6250542345103132
722122521205521
oct3205617656540
9712426364562
10224114204000
1187056697615
1237527487aa8
131819819323b
14abc0968848
155c6a4c38d5
hex342e3f5d60

224114204000 has 192 divisors, whose sum is σ = 570456432000. Its totient is φ = 86429952000.

The previous prime is 224114203987. The next prime is 224114204023. The reversal of 224114204000 is 402411422.

224114204000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 160195301 + ... + 160196699.

It is an arithmetic number, because the mean of its divisors is an integer number (2971127250).

Almost surely, 2224114204000 is an apocalyptic number.

224114204000 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 224114204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285228216000).

224114204000 is an abundant number, since it is smaller than the sum of its proper divisors (346342228000).

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

224114204000 is a wasteful number, since it uses less digits than its factorization.

224114204000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 224114204000 its reverse (402411422), we get a palindrome (224516615422).

The spelling of 224114204000 in words is "two hundred twenty-four billion, one hundred fourteen million, two hundred four thousand".