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4001145220 = 225375406953
BaseRepresentation
bin1110111001111100…
…1010000110000100
3101022211212020101201
43232133022012010
531143243121340
61501010232244
7201103113262
oct35637120604
911284766351
104001145220
1117735a6696
12937b85684
134b9c32a67
1429d571432
151863ee79a
hexee7ca184

4001145220 has 24 divisors (see below), whose sum is σ = 8629498584. Its totient is φ = 1557202176.

The previous prime is 4001145179. The next prime is 4001145221. The reversal of 4001145220 is 225411004.

4001145220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2138877504 + 1862267716 = 46248^2 + 43154^2 .

It is not an unprimeable number, because it can be changed into a prime (4001145221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2702737 + ... + 2704216.

It is an arithmetic number, because the mean of its divisors is an integer number (359562441).

Almost surely, 24001145220 is an apocalyptic number.

It is an amenable number.

4001145220 is an abundant number, since it is smaller than the sum of its proper divisors (4628353364).

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

4001145220 is a wasteful number, since it uses less digits than its factorization.

4001145220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5406999 (or 5406997 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 4001145220 is about 63254.6063144812. The cubic root of 4001145220 is about 1587.5525311321.

Adding to 4001145220 its reverse (225411004), we get a palindrome (4226556224).

The spelling of 4001145220 in words is "four billion, one million, one hundred forty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 5406953 10813906 21627812 27034765 54069530 108139060 200057261 400114522 800229044 1000286305 2000572610 4001145220