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22968343800 = 23345219711051
BaseRepresentation
bin10101011001000001…
…010001110011111000
32012021200222202110000
4111121001101303320
5334014344000200
614315043153000
71442114462313
oct253101216370
965250882400
1022968343800
119817038716
124550075760
13222065739c
14117c60b97a
158e665a300
hex559051cf8

22968343800 has 480 divisors, whose sum is σ = 85234723200. Its totient is φ = 5715360000.

The previous prime is 22968343793. The next prime is 22968343807. The reversal of 22968343800 is 834386922.

22968343800 is a `hidden beast` number, since 229 + 6 + 8 + 343 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22968343793) and next prime (22968343807).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22968343807) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 21853275 + ... + 21854325.

It is an arithmetic number, because the mean of its divisors is an integer number (177572340).

Almost surely, 222968343800 is an apocalyptic number.

22968343800 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 22968343800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42617361600).

22968343800 is an abundant number, since it is smaller than the sum of its proper divisors (62266379400).

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

22968343800 is a wasteful number, since it uses less digits than its factorization.

22968343800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 22968343800 in words is "twenty-two billion, nine hundred sixty-eight million, three hundred forty-three thousand, eight hundred".