Search a number
-
+
2142245025 = 325213769497
BaseRepresentation
bin111111110110000…
…0001000010100001
312112022000022201100
41333230001002201
513341403320100
6552323425013
7104041532214
oct17754010241
95468008640
102142245025
119aa272438
124b9525169
13281a8c50b
1416472577b
15c810e400
hex7fb010a1

2142245025 has 36 divisors (see below), whose sum is σ = 3865061772. Its totient is φ = 1134174720.

The previous prime is 2142245011. The next prime is 2142245029. The reversal of 2142245025 is 5205422412.

It can be written as a sum of positive squares in 6 ways, for example, as 142277184 + 1999967841 = 11928^2 + 44721^2 .

It is not a de Polignac number, because 2142245025 - 26 = 2142244961 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2142245025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142245029) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3924 + ... + 65573.

It is an arithmetic number, because the mean of its divisors is an integer number (107362827).

Almost surely, 22142245025 is an apocalyptic number.

2142245025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2142245025 is a deficient number, since it is larger than the sum of its proper divisors (1722816747).

2142245025 is a wasteful number, since it uses less digits than its factorization.

2142245025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69650 (or 69642 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 2142245025 is about 46284.3928878839. The cubic root of 2142245025 is about 1289.1092191773.

Adding to 2142245025 its reverse (5205422412), we get a palindrome (7347667437).

The spelling of 2142245025 in words is "two billion, one hundred forty-two million, two hundred forty-five thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 137 225 411 685 1233 2055 3425 6165 10275 30825 69497 208491 347485 625473 1042455 1737425 3127365 5212275 9521089 15636825 28563267 47605445 85689801 142816335 238027225 428449005 714081675 2142245025