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2231203234000 = 245313221373089
BaseRepresentation
bin100000011101111110000…
…100111000000011010000
321220022010101112001120211
4200131332010320003100
5243024001011442000
64425000044413504
7320125203365536
oct40357604700320
97808111461524
102231203234000
11790280070584
12300509547294
1313252b302b00
1479dc2b0c156
153d08aa047ba
hex2077e1380d0

2231203234000 has 240 divisors, whose sum is σ = 5846602422960. Its totient is φ = 823176806400.

The previous prime is 2231203233971. The next prime is 2231203234009. The reversal of 2231203234000 is 4323021322.

It can be written as a sum of positive squares in 24 ways, for example, as 2096854594704 + 134348639296 = 1448052^2 + 366536^2 .

It is a super-3 number, since 3×22312032340003 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231203234009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 722304456 + ... + 722307544.

It is an arithmetic number, because the mean of its divisors is an integer number (24360843429).

Almost surely, 22231203234000 is an apocalyptic number.

2231203234000 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 2231203234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2923301211480).

2231203234000 is an abundant number, since it is smaller than the sum of its proper divisors (3615399188960).

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

2231203234000 is a wasteful number, since it uses less digits than its factorization.

2231203234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5275 (or 5246 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 2231203234000 its reverse (4323021322), we get a palindrome (2235526255322).

The spelling of 2231203234000 in words is "two trillion, two hundred thirty-one billion, two hundred three million, two hundred thirty-four thousand".