Search a number
-
+
2252500110 = 233572891913
BaseRepresentation
bin1000011001000010…
…0110110010001110
312210222110212021000
42012100212302032
514103120000420
61011302521130
7106550635500
oct20620466216
95728425230
102252500110
11a56528743
1252a4361a6
1329b883a03
14175225d70
15d2b3c690
hex86426c8e

2252500110 has 192 divisors, whose sum is σ = 7069550400. Its totient is φ = 508806144.

The previous prime is 2252500087. The next prime is 2252500111. The reversal of 2252500110 is 110052522.

2252500110 is a `hidden beast` number, since 2 + 2 + 52 + 500 + 110 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252500111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1176514 + ... + 1178426.

It is an arithmetic number, because the mean of its divisors is an integer number (36820575).

Almost surely, 22252500110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252500110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3534775200).

2252500110 is an abundant number, since it is smaller than the sum of its proper divisors (4817050290).

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

2252500110 is a wasteful number, since it uses less digits than its factorization.

2252500110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 2252500110 is about 47460.5110591953. The cubic root of 2252500110 is about 1310.8558612851.

Adding to 2252500110 its reverse (110052522), we get a palindrome (2362552632).

The spelling of 2252500110 in words is "two billion, two hundred fifty-two million, five hundred thousand, one hundred ten".