Search a number
-
+
23244300200 = 235211103910169
BaseRepresentation
bin10101101001011101…
…111101111110101000
32012222221020210110102
4111221131331332220
5340101020101300
614402302004532
71452005202032
oct255135757650
965887223412
1023244300200
11994888a860
124608576748
1322658873b4
1411a7122c52
159109ba0d5
hex56977dfa8

23244300200 has 96 divisors (see below), whose sum is σ = 59018544000. Its totient is φ = 8443507200.

The previous prime is 23244300193. The next prime is 23244300239. The reversal of 23244300200 is 200344232.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2280716 + ... + 2290884.

It is an arithmetic number, because the mean of its divisors is an integer number (614776500).

Almost surely, 223244300200 is an apocalyptic number.

23244300200 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 23244300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29509272000).

23244300200 is an abundant number, since it is smaller than the sum of its proper divisors (35774243800).

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

23244300200 is a wasteful number, since it uses less digits than its factorization.

23244300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11235 (or 11226 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 23244300200 its reverse (200344232), we get a palindrome (23444644432).

The spelling of 23244300200 in words is "twenty-three billion, two hundred forty-four million, three hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1039 1100 2078 2200 4156 5195 8312 10169 10390 11429 20338 20780 22858 25975 40676 41560 45716 50845 51950 57145 81352 91432 101690 103900 111859 114290 203380 207800 223718 228580 254225 285725 406760 447436 457160 508450 559295 571450 894872 1016900 1118590 1142900 2033800 2237180 2285800 2796475 4474360 5592950 10565591 11185900 21131182 22371800 42262364 52827955 84524728 105655910 116221501 211311820 232443002 264139775 422623640 464886004 528279550 581107505 929772008 1056559100 1162215010 2113118200 2324430020 2905537525 4648860040 5811075050 11622150100 23244300200