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4110145220 = 22513711531301
BaseRepresentation
bin1111010011111011…
…1101011011000100
3101121102222000021202
43310332331123010
531404144121340
61515502402032
7203565441446
oct36476753304
911542860252
104110145220
11181a084a35
12968590318
135066a7bbc
142adc26496
15190c80c15
hexf4fbd6c4

4110145220 has 48 divisors (see below), whose sum is σ = 8708536368. Its totient is φ = 1629388800.

The previous prime is 4110145219. The next prime is 4110145229. The reversal of 4110145220 is 225410114.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 242300356 + 3867844864 = 15566^2 + 62192^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4110145192 and 4110145201.

It is not an unprimeable number, because it can be changed into a prime (4110145229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3158570 + ... + 3159870.

It is an arithmetic number, because the mean of its divisors is an integer number (181427841).

Almost surely, 24110145220 is an apocalyptic number.

It is an amenable number.

4110145220 is an abundant number, since it is smaller than the sum of its proper divisors (4598391148).

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

4110145220 is a wasteful number, since it uses less digits than its factorization.

4110145220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2600 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 4110145220 is about 64110.4142866040. The cubic root of 4110145220 is about 1601.8397093785.

Adding to 4110145220 its reverse (225410114), we get a palindrome (4335555334).

The spelling of 4110145220 in words is "four billion, one hundred ten million, one hundred forty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 137 274 548 685 1153 1301 1370 2306 2602 2740 4612 5204 5765 6505 11530 13010 23060 26020 157961 178237 315922 356474 631844 712948 789805 891185 1500053 1579610 1782370 3000106 3159220 3564740 6000212 7500265 15000530 30001060 205507261 411014522 822029044 1027536305 2055072610 4110145220