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2242401414132 = 2231135323311369
BaseRepresentation
bin100000101000011001100…
…010100010101111110100
321221101000210212112212010
4200220121202202233310
5243214414230223012
64434051152324220
7321002540346165
oct40503142425764
97841023775763
102242401414132
11794aa7159000
12302713843670
131335c42c82b9
147a76604976c
153d4e3b8dc3c
hex20a198a2bf4

2242401414132 has 192 divisors, whose sum is σ = 5889374749440. Its totient is φ = 663774791680.

The previous prime is 2242401414107. The next prime is 2242401414137. The reversal of 2242401414132 is 2314141042422.

It is a self number, because there is not a number n which added to its sum of digits gives 2242401414132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242401414137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 197232544 + ... + 197243912.

It is an arithmetic number, because the mean of its divisors is an integer number (30673826820).

Almost surely, 22242401414132 is an apocalyptic number.

2242401414132 is a gapful number since it is divisible by the number (22) 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 2242401414132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944687374720).

2242401414132 is an abundant number, since it is smaller than the sum of its proper divisors (3646973335308).

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

2242401414132 is a wasteful number, since it uses less digits than its factorization.

2242401414132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11695 (or 11671 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 2242401414132 its reverse (2314141042422), we get a palindrome (4556542456554).

The spelling of 2242401414132 in words is "two trillion, two hundred forty-two billion, four hundred one million, four hundred fourteen thousand, one hundred thirty-two".