Search a number
-
+
22653146880 = 283457513
BaseRepresentation
bin10101000110001110…
…111001011100000000
32011110201220002120000
4111012032321130000
5332343201200010
614223503320000
71431236400000
oct250616713400
964421802500
1022653146880
1196751245a1
1244825b0000
1321a0268430
14114c800000
158c8b487c0
hex5463b9700

22653146880 has 1080 divisors, whose sum is σ = 101840108832. Its totient is φ = 4779565056.

The previous prime is 22653146851. The next prime is 22653146911. The reversal of 22653146880 is 8864135622.

22653146880 is a `hidden beast` number, since 22 + 65 + 31 + 468 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1742549754 + ... + 1742549766.

Almost surely, 222653146880 is an apocalyptic number.

22653146880 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 22653146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50920054416).

22653146880 is an abundant number, since it is smaller than the sum of its proper divisors (79186961952).

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

22653146880 is an frugal number, since it uses more digits than its factorization.

22653146880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 22653146880 in words is "twenty-two billion, six hundred fifty-three million, one hundred forty-six thousand, eight hundred eighty".