Search a number
-
+
22883773440 = 21035111731257
BaseRepresentation
bin10101010011111110…
…101010110000000000
32012001210212010201110
4111103332222300000
5333331221222230
614302422403320
71440036602433
oct252376526000
965053763643
1022883773440
119783325760
124527890540
132208c86958
1411712b581a
158de0024b0
hex553faac00

22883773440 has 704 divisors, whose sum is σ = 87609765888. Its totient is φ = 5033164800.

The previous prime is 22883773439. The next prime is 22883773441. The reversal of 22883773440 is 4437738822.

It is an interprime number because it is at equal distance from previous prime (22883773439) and next prime (22883773441).

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 22883773440.

It is not an unprimeable number, because it can be changed into a prime (22883773441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89041792 + ... + 89042048.

Almost surely, 222883773440 is an apocalyptic number.

22883773440 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 22883773440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43804882944).

22883773440 is an abundant number, since it is smaller than the sum of its proper divisors (64725992448).

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

22883773440 is a wasteful number, since it uses less digits than its factorization.

22883773440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 22883773440 in words is "twenty-two billion, eight hundred eighty-three million, seven hundred seventy-three thousand, four hundred forty".