Search a number
-
+
2203121440 = 2551319107521
BaseRepresentation
bin1000001101010000…
…1111011100100000
312200112120011110101
42003110033130200
514002444341230
61002340312144
7105411136402
oct20324173440
95615504411
102203121440
11a30671823
125159a2654
13291585370
1416c850b72
15cd636aca
hex8350f720

2203121440 has 192 divisors, whose sum is σ = 5966835840. Its totient is φ = 761978880.

The previous prime is 2203121413. The next prime is 2203121467. The reversal of 2203121440 is 441213022.

It is an interprime number because it is at equal distance from previous prime (2203121413) and next prime (2203121467).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4228380 + ... + 4228900.

It is an arithmetic number, because the mean of its divisors is an integer number (31077270).

Almost surely, 22203121440 is an apocalyptic number.

2203121440 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 2203121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2983417920).

2203121440 is an abundant number, since it is smaller than the sum of its proper divisors (3763714400).

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

2203121440 is a wasteful number, since it uses less digits than its factorization.

2203121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2203121440 is about 46937.4204659779. The cubic root of 2203121440 is about 1301.2062649806.

Adding to 2203121440 its reverse (441213022), we get a palindrome (2644334462).

The spelling of 2203121440 in words is "two billion, two hundred three million, one hundred twenty-one thousand, four hundred forty".