Search a number
-
+
2425523130 = 234516318371
BaseRepresentation
bin1001000010010010…
…1000101110111010
320021001001100020000
42100210220232322
514431413220010
61040403213430
7114051415002
oct22044505672
96231040200
102425523130
111035165478
12578377276
132c8683cb4
141901c5002
15e2e187c0
hex90928bba

2425523130 has 80 divisors (see below), whose sum is σ = 6562331424. Its totient is φ = 642803040.

The previous prime is 2425523129. The next prime is 2425523143. The reversal of 2425523130 is 313255242.

It is a happy number.

2425523130 is a `hidden beast` number, since 2 + 4 + 2 + 5 + 523 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2425523094 and 2425523103.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 122845 + ... + 141215.

Almost surely, 22425523130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2425523130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281165712).

2425523130 is an abundant number, since it is smaller than the sum of its proper divisors (4136808294).

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

2425523130 is a wasteful number, since it uses less digits than its factorization.

2425523130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18553 (or 18544 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2425523130 is about 49249.6003029466. The cubic root of 2425523130 is about 1343.5952922881.

Adding to 2425523130 its reverse (313255242), we get a palindrome (2738778372).

The spelling of 2425523130 in words is "two billion, four hundred twenty-five million, five hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 163 270 326 405 489 810 815 978 1467 1630 2445 2934 4401 4890 7335 8802 13203 14670 18371 22005 26406 36742 44010 55113 66015 91855 110226 132030 165339 183710 275565 330678 496017 551130 826695 992034 1488051 1653390 2480085 2976102 2994473 4960170 5988946 7440255 8983419 14880510 14972365 17966838 26950257 29944730 44917095 53900514 80850771 89834190 134751285 161701542 242552313 269502570 404253855 485104626 808507710 1212761565 2425523130