[go: up one dir, main page]

Search a number
-
+
2204124000 = 253531371199
BaseRepresentation
bin1000001101100000…
…0100001101100000
312200121110002201020
42003120010031200
514003223432000
61002414005440
7105422513331
oct20330041540
95617402636
102204124000
11a31196a91
125161a6880
132918467b0
1416ca32288
15cd783ba0
hex83604360

2204124000 has 384 divisors, whose sum is σ = 7925299200. Its totient is φ = 532224000.

The previous prime is 2204123983. The next prime is 2204124037. The reversal of 2204124000 is 4214022.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11075901 + ... + 11076099.

It is an arithmetic number, because the mean of its divisors is an integer number (20638800).

Almost surely, 22204124000 is an apocalyptic number.

2204124000 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 2204124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962649600).

2204124000 is an abundant number, since it is smaller than the sum of its proper divisors (5721175200).

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

2204124000 is a wasteful number, since it uses less digits than its factorization.

2204124000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2204124000 is about 46948.0990030480. The cubic root of 2204124000 is about 1301.4036121773.

Adding to 2204124000 its reverse (4214022), we get a palindrome (2208338022).

The spelling of 2204124000 in words is "two billion, two hundred four million, one hundred twenty-four thousand".