Search a number
-
+
22916061000 = 23335372937113
BaseRepresentation
bin10101010101111001…
…110101011101001000
32012011001121111221000
4111111321311131020
5333413002423000
614305534415000
71440611206320
oct252571653510
965131544830
1022916061000
11979a578898
124536661460
13221287cc11
1411756bc280
158e1c7e000
hex555e75748

22916061000 has 1024 divisors, whose sum is σ = 97314048000. Its totient is φ = 4877107200.

The previous prime is 22916060989. The next prime is 22916061023. The reversal of 22916061000 is 16061922.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 202796944 + ... + 202797056.

It is an arithmetic number, because the mean of its divisors is an integer number (95033250).

Almost surely, 222916061000 is an apocalyptic number.

22916061000 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 22916061000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48657024000).

22916061000 is an abundant number, since it is smaller than the sum of its proper divisors (74397987000).

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

22916061000 is a wasteful number, since it uses less digits than its factorization.

22916061000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 22916061000 in words is "twenty-two billion, nine hundred sixteen million, sixty-one thousand".