Search a number
-
+
2501112 = 233232197
BaseRepresentation
bin1001100010100111111000
311201001212210
421202213320
51120013422
6125335120
730154605
oct11424770
94631783
102501112
111459139
12a074a0
13697563
144916ac
1534610c
hex2629f8

2501112 has 48 divisors (see below), whose sum is σ = 6569640. Its totient is φ = 793408.

The previous prime is 2501101. The next prime is 2501113. The reversal of 2501112 is 2111052.

2501112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×25011122 = 12511122473088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2501113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12598 + ... + 12794.

22501112 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 2501112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3284820).

2501112 is an abundant number, since it is smaller than the sum of its proper divisors (4068528).

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

2501112 is a wasteful number, since it uses less digits than its factorization.

2501112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 2501112 is about 1581.4904362657. The cubic root of 2501112 is about 135.7410007295.

Adding to 2501112 its reverse (2111052), we get a palindrome (4612164).

The spelling of 2501112 in words is "two million, five hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 197 276 394 529 552 591 788 1058 1182 1576 1587 2116 2364 3174 4232 4531 4728 6348 9062 12696 13593 18124 27186 36248 54372 104213 108744 208426 312639 416852 625278 833704 1250556 2501112