Search a number
-
+
23220113332200 = 233523789101116359
BaseRepresentation
bin1010100011110010110101…
…00110110101011111101000
310001012211011121210121101220
411101321122212311133220
511020414243003112300
6121215101154142040
74614412024520331
oct521713246653750
9101184147717356
1023220113332200
11744265a6a1104
122730268b81920
13cc585513b6b5
145a3c065bd288
152a401d704da0
hex151e5a9b57e8

23220113332200 has 384 divisors, whose sum is σ = 75499301664000. Its totient is φ = 5897954304000.

The previous prime is 23220113332183. The next prime is 23220113332259. The reversal of 23220113332200 is 223331102232.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 199497621 + ... + 199613979.

It is an arithmetic number, because the mean of its divisors is an integer number (196612764750).

Almost surely, 223220113332200 is an apocalyptic number.

23220113332200 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 23220113332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37749650832000).

23220113332200 is an abundant number, since it is smaller than the sum of its proper divisors (52279188331800).

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

23220113332200 is a wasteful number, since it uses less digits than its factorization.

23220113332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116605 (or 116596 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 23220113332200 its reverse (223331102232), we get a palindrome (23443444434432).

The spelling of 23220113332200 in words is "twenty-three trillion, two hundred twenty billion, one hundred thirteen million, three hundred thirty-two thousand, two hundred".