Search a number
-
+
23223022132200 = 2335211311011123807
BaseRepresentation
bin1010100011111000001111…
…11111000001101111101000
310001020002200100012221212020
411101330013333001233220
511020441222131212300
6121220301543544440
74614544065101652
oct521740777015750
9101202610187766
1023223022132200
117443912630650
12273093b15b120
13cc5bc9970a27
145a4000a456d2
152a413dc818a0
hex151f07fc1be8

23223022132200 has 384 divisors, whose sum is σ = 81872199843840. Its totient is φ = 5394268800000.

The previous prime is 23223022132181. The next prime is 23223022132217. The reversal of 23223022132200 is 223122032232.

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, 20102697 + ... + 21226503.

It is an arithmetic number, because the mean of its divisors is an integer number (213208853760).

Almost surely, 223223022132200 is an apocalyptic number.

23223022132200 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 23223022132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40936099921920).

23223022132200 is an abundant number, since it is smaller than the sum of its proper divisors (58649177711640).

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

23223022132200 is a wasteful number, since it uses less digits than its factorization.

23223022132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123969 (or 1123960 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 23223022132200 its reverse (223122032232), we get a palindrome (23446144164432).

The spelling of 23223022132200 in words is "twenty-three trillion, two hundred twenty-three billion, twenty-two million, one hundred thirty-two thousand, two hundred".