Search a number
-
+
23322201202200 = 233521959257134921
BaseRepresentation
bin1010100110110000111111…
…00001001001111000011000
310001120120200022010201212010
411103120133201021320120
511024102332001432300
6121334023223345520
74624654613222355
oct523303741117030
9101516608121763
1023322201202200
11748198762a8aa
122747bb9bb22a0
13100237437ca74
145a8b2ca4d62c
152a69e5daca50
hex15361f849e18

23322201202200 has 384 divisors, whose sum is σ = 77695643232000. Its totient is φ = 5769481420800.

The previous prime is 23322201202163. The next prime is 23322201202207. The reversal of 23322201202200 is 220210222332.

It is a super-4 number, since 4×233222012022004 (a number of 55 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23322201202207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 172790740 + ... + 172925660.

It is an arithmetic number, because the mean of its divisors is an integer number (202332404250).

Almost surely, 223322201202200 is an apocalyptic number.

23322201202200 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 23322201202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38847821616000).

23322201202200 is an abundant number, since it is smaller than the sum of its proper divisors (54373442029800).

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

23322201202200 is a wasteful number, since it uses less digits than its factorization.

23322201202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135275 (or 135266 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 23322201202200 its reverse (220210222332), we get a palindrome (23542411424532).

The spelling of 23322201202200 in words is "twenty-three trillion, three hundred twenty-two billion, two hundred one million, two hundred two thousand, two hundred".