Search a number
-
+
22144214414430 = 23255377316973539
BaseRepresentation
bin1010000100011110110100…
…00010001011010001011110
32220101222002101011200010100
411002033122002023101132
510400302322342230210
6115032524530321530
74443603163563543
oct502173202132136
986358071150110
1022144214414430
117068343813999
1225978447292a6
13c48262591a34
14567addd44bca
1528604da605c0
hex1423da08b45e

22144214414430 has 192 divisors, whose sum is σ = 58788384482880. Its totient is φ = 5781167628288.

The previous prime is 22144214414417. The next prime is 22144214414447. The reversal of 22144214414430 is 3441441244122.

22144214414430 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 4 + 214 + 4 + 1 + 4 + 430 = 666.

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, 6257193601 + ... + 6257197139.

It is an arithmetic number, because the mean of its divisors is an integer number (306189502515).

Almost surely, 222144214414430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22144214414430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29394192241440).

22144214414430 is an abundant number, since it is smaller than the sum of its proper divisors (36644170068450).

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

22144214414430 is a wasteful number, since it uses less digits than its factorization.

22144214414430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6075 (or 6072 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 22144214414430 its reverse (3441441244122), we get a palindrome (25585655658552).

The spelling of 22144214414430 in words is "twenty-two trillion, one hundred forty-four billion, two hundred fourteen million, four hundred fourteen thousand, four hundred thirty".