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2040213220 = 2252917320333
BaseRepresentation
bin111100110011011…
…0010111011100100
312021012000120101121
41321212302323210
513134243310340
6534240503324
7101362345333
oct17146627344
95235016347
102040213220
11957713431
1248b31ab44
132668b6c76
14154d65d1a
15be1a794a
hex799b2ee4

2040213220 has 48 divisors (see below), whose sum is σ = 4458026160. Its totient is φ = 783351296.

The previous prime is 2040213211. The next prime is 2040213239. The reversal of 2040213220 is 223120402.

It can be written as a sum of positive squares in 8 ways, for example, as 439573156 + 1600640064 = 20966^2 + 40008^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2040213194 and 2040213203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90174 + ... + 110506.

It is an arithmetic number, because the mean of its divisors is an integer number (92875545).

Almost surely, 22040213220 is an apocalyptic number.

2040213220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229013080).

2040213220 is an abundant number, since it is smaller than the sum of its proper divisors (2417812940).

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

2040213220 is a wasteful number, since it uses less digits than its factorization.

2040213220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20544 (or 20542 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2040213220 is about 45168.7194859451. The cubic root of 2040213220 is about 1268.3093257294.

Adding to 2040213220 its reverse (223120402), we get a palindrome (2263333622).

The spelling of 2040213220 in words is "two billion, forty million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 173 290 346 580 692 865 1730 3460 5017 10034 20068 20333 25085 40666 50170 81332 100340 101665 203330 406660 589657 1179314 2358628 2948285 3517609 5896570 7035218 11793140 14070436 17588045 35176090 70352180 102010661 204021322 408042644 510053305 1020106610 2040213220