Search a number
-
+
10222144344 = 23322953711301
BaseRepresentation
bin10011000010100100…
…11000101101011000
3222101101202201212200
421201102120231120
5131413332104334
64410200010200
7511212536046
oct114122305530
928341681780
1010222144344
114376152385
121b93460960
13c6ba28c29
146cd86b396
153ec63d799
hex261498b58

10222144344 has 192 divisors, whose sum is σ = 29613729600. Its totient is φ = 3179904000.

The previous prime is 10222144277. The next prime is 10222144379. The reversal of 10222144344 is 44344122201.

10222144344 is a `hidden beast` number, since 1 + 0 + 2 + 221 + 4 + 434 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7856494 + ... + 7857794.

It is an arithmetic number, because the mean of its divisors is an integer number (154238175).

Almost surely, 210222144344 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 10222144344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14806864800).

10222144344 is an abundant number, since it is smaller than the sum of its proper divisors (19391585256).

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

10222144344 is a wasteful number, since it uses less digits than its factorization.

10222144344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 10222144344 its reverse (44344122201), we get a palindrome (54566266545).

The spelling of 10222144344 in words is "ten billion, two hundred twenty-two million, one hundred forty-four thousand, three hundred forty-four".