Search a number
-
+
2240200113312 = 253771167281153
BaseRepresentation
bin100000100110010110010…
…101001111110010100000
321221011100101201212211010
4200212112111033302200
5243200412212111222
64433044515020520
7320564150531430
oct40462625176240
97834311655733
102240200113312
11794077620127
123021ba59a740
1313333322c835
147a5d79502c0
153d4157b680c
hex2099654fca0

2240200113312 has 192 divisors, whose sum is σ = 6856090988544. Its totient is φ = 627261358080.

The previous prime is 2240200113257. The next prime is 2240200113323. The reversal of 2240200113312 is 2133110020422.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7827328 + ... + 8108480.

It is an arithmetic number, because the mean of its divisors is an integer number (35708807232).

Almost surely, 22240200113312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240200113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428045494272).

2240200113312 is an abundant number, since it is smaller than the sum of its proper divisors (4615890875232).

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

2240200113312 is a wasteful number, since it uses less digits than its factorization.

2240200113312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281411 (or 281403 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 2240200113312 its reverse (2133110020422), we get a palindrome (4373310133734).

The spelling of 2240200113312 in words is "two trillion, two hundred forty billion, two hundred million, one hundred thirteen thousand, three hundred twelve".