Search a number
-
+
22604243386560 = 263511172232511283
BaseRepresentation
bin1010010001110111101011…
…11001011100000011000000
32222000221111120211210011020
411020323311321130003000
510430321442301332220
6120024125051545440
74522050136410243
oct510736571340300
988027446753136
1022604243386560
117225451111560
122650a2b45b280
13c7c756662414
145820a077d25a
15292ec54d1040
hex148ef5e5c0c0

22604243386560 has 1344 divisors, whose sum is σ = 87198977101824. Its totient is φ = 4909752320000.

The previous prime is 22604243386553. The next prime is 22604243386579. The reversal of 22604243386560 is 6568334240622.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17618271679 + ... + 17618272961.

It is an arithmetic number, because the mean of its divisors is an integer number (64880191296).

Almost surely, 222604243386560 is an apocalyptic number.

22604243386560 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 22604243386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43599488550912).

22604243386560 is an abundant number, since it is smaller than the sum of its proper divisors (64594733715264).

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

22604243386560 is a wasteful number, since it uses less digits than its factorization.

22604243386560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 51.

The spelling of 22604243386560 in words is "twenty-two trillion, six hundred four billion, two hundred forty-three million, three hundred eighty-six thousand, five hundred sixty".