Search a number
-
+
22082073561600 = 2935213311426933
BaseRepresentation
bin1010000010101011000100…
…01001101000101000000000
32220012000200200012021101120
411001111202021220220000
510343243041312432400
6114544210424232240
74436243240212443
oct501254211505000
986160620167346
1022082073561600
117043a55935478
1225877a190b680
13c4243b441c30
14564ac700d65a
152846133c5ca0
hex141562268a00

22082073561600 has 480 divisors, whose sum is σ = 81092225432064. Its totient is φ = 5260242124800.

The previous prime is 22082073561589. The next prime is 22082073561637. The reversal of 22082073561600 is 616537028022.

It is a tau number, because it is divible by the number of its divisors (480).

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, 14761734 + ... + 16188666.

Almost surely, 222082073561600 is an apocalyptic number.

22082073561600 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 22082073561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40546112716032).

22082073561600 is an abundant number, since it is smaller than the sum of its proper divisors (59010151870464).

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

22082073561600 is a wasteful number, since it uses less digits than its factorization.

22082073561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427008 (or 1426987 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 22082073561600 in words is "twenty-two trillion, eighty-two billion, seventy-three million, five hundred sixty-one thousand, six hundred".