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2231244110040 = 23351123219916057
BaseRepresentation
bin100000011110000000100…
…000110011100011011000
321220022020020102202222020
4200132000200303203120
5243024041443010130
64425004104454440
7320126211002631
oct40360040634330
97808206382866
102231244110040
117902a114a330
1230051b17a420
1313253691530a
1479dc830c888
153d08e3cae10
hex207808338d8

2231244110040 has 384 divisors, whose sum is σ = 7672383936000. Its totient is φ = 514757928960.

The previous prime is 2231244110021. The next prime is 2231244110071. The reversal of 2231244110040 is 400114421322.

It is a super-3 number, since 3×22312441100403 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138949692 + ... + 138965748.

It is an arithmetic number, because the mean of its divisors is an integer number (19980166500).

Almost surely, 22231244110040 is an apocalyptic number.

2231244110040 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 2231244110040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3836191968000).

2231244110040 is an abundant number, since it is smaller than the sum of its proper divisors (5441139825960).

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

2231244110040 is a wasteful number, since it uses less digits than its factorization.

2231244110040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16327 (or 16300 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2231244110040 its reverse (400114421322), we get a palindrome (2631358531362).

The spelling of 2231244110040 in words is "two trillion, two hundred thirty-one billion, two hundred forty-four million, one hundred ten thousand, forty".