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1222441324344 = 2332374353227887
BaseRepresentation
bin10001110010011111001…
…011100100111100111000
311022212100001000111122100
4101302133023210330320
5130012024434334334
62333325400023400
7154214143545432
oct21623713447470
94285301014570
101222441324344
11431486293239
12178b01161b60
138b3779b9856
1443248b49652
1521be9e41c99
hex11c9f2e4f38

1222441324344 has 384 divisors, whose sum is σ = 3564613578240. Its totient is φ = 377840526336.

The previous prime is 1222441324333. The next prime is 1222441324361. The reversal of 1222441324344 is 4434231442221.

1222441324344 is a `hidden beast` number, since 12 + 224 + 413 + 2 + 4 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1222441324299 and 1222441324308.

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, 1378174669 + ... + 1378175555.

It is an arithmetic number, because the mean of its divisors is an integer number (9282847860).

Almost surely, 21222441324344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222441324344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782306789120).

1222441324344 is an abundant number, since it is smaller than the sum of its proper divisors (2342172253896).

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

1222441324344 is a wasteful number, since it uses less digits than its factorization.

1222441324344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1252 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 1222441324344 its reverse (4434231442221), we get a palindrome (5656672766565).

The spelling of 1222441324344 in words is "one trillion, two hundred twenty-two billion, four hundred forty-one million, three hundred twenty-four thousand, three hundred forty-four".