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2203112340 = 223251121331251
BaseRepresentation
bin1000001101010000…
…1101001110010100
312200112112200222100
42003110031032110
514002444043330
61002340202100
7105411101022
oct20324151624
95615480870
102203112340
11a30665a00
12515999330
13291581190
1416c84b712
15cd634060
hex8350d394

2203112340 has 432 divisors, whose sum is σ = 8198281728. Its totient is φ = 475200000.

The previous prime is 2203112323. The next prime is 2203112347. The reversal of 2203112340 is 432113022.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2203112347) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 8777215 + ... + 8777465.

It is an arithmetic number, because the mean of its divisors is an integer number (18977504).

Almost surely, 22203112340 is an apocalyptic number.

2203112340 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 2203112340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4099140864).

2203112340 is an abundant number, since it is smaller than the sum of its proper divisors (5995169388).

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

2203112340 is a wasteful number, since it uses less digits than its factorization.

2203112340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2203112340 is about 46937.3235282968. The cubic root of 2203112340 is about 1301.2044734326.

Adding to 2203112340 its reverse (432113022), we get a palindrome (2635225362).

The spelling of 2203112340 in words is "two billion, two hundred three million, one hundred twelve thousand, three hundred forty".