Search a number
-
+
2157118425 = 335274113
BaseRepresentation
bin1000000010010011…
…0000001111011001
312120022222222012000
42000210300033121
513404210242200
6554014311213
7104312130000
oct20044601731
95508888160
102157118425
11a07701000
125024b8509
13284b99347
141666b7c37
15c959b300
hex809303d9

2157118425 has 240 divisors, whose sum is σ = 5084823360. Its totient is φ = 896464800.

The previous prime is 2157118421. The next prime is 2157118451. The reversal of 2157118425 is 5248117512.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2157118425 is a `hidden beast` number, since 2 + 1 + 571 + 1 + 84 + 2 + 5 = 666.

It is not a de Polignac number, because 2157118425 - 22 = 2157118421 is a prime.

Its product of digits (22400) is a multiple of the sum of its prime factors (80).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2157118425.

It is not an unprimeable number, because it can be changed into a prime (2157118421) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 196101670 + ... + 196101680.

It is an arithmetic number, because the mean of its divisors is an integer number (21186764).

Almost surely, 22157118425 is an apocalyptic number.

2157118425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2157118425 is an abundant number, since it is smaller than the sum of its proper divisors (2927704935).

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

2157118425 is an frugal number, since it uses more digits than its factorization.

2157118425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 26 counting only the distinct ones).

The product of its digits is 22400, while the sum is 36.

The square root of 2157118425 is about 46444.7889972600. The cubic root of 2157118425 is about 1292.0857281040.

The spelling of 2157118425 in words is "two billion, one hundred fifty-seven million, one hundred eighteen thousand, four hundred twenty-five".