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4440220020 = 22325158315583
BaseRepresentation
bin1000010001010100…
…00110000101110100
3102110110001112210100
410020222012011310
533043144020040
62012333154100
7215014150605
oct41052060564
912413045710
104440220020
111979430025
12a3b02b930
13559ba5a32
143019c7dac
151aec30b30
hex108a86174

4440220020 has 72 divisors (see below), whose sum is σ = 13478040576. Its totient is φ = 1183234752.

The previous prime is 4440220007. The next prime is 4440220093. The reversal of 4440220020 is 200220444.

4440220020 is a `hidden beast` number, since 4 + 440 + 2 + 200 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4440219975 and 4440220002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277149 + ... + 292731.

It is an arithmetic number, because the mean of its divisors is an integer number (187195008).

Almost surely, 24440220020 is an apocalyptic number.

It is an amenable number.

4440220020 is an abundant number, since it is smaller than the sum of its proper divisors (9037820556).

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

4440220020 is a wasteful number, since it uses less digits than its factorization.

4440220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17181 (or 17176 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4440220020 is about 66634.9759510724. The cubic root of 4440220020 is about 1643.6203014283.

Adding to 4440220020 its reverse (200220444), we get a palindrome (4640440464).

The spelling of 4440220020 in words is "four billion, four hundred forty million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1583 3166 4749 6332 7915 9498 14247 15583 15830 18996 23745 28494 31166 31660 46749 47490 56988 62332 71235 77915 93498 94980 140247 142470 155830 186996 233745 280494 284940 311660 467490 560988 701235 934980 1402470 2804940 24667889 49335778 74003667 98671556 123339445 148007334 222011001 246678890 296014668 370018335 444022002 493357780 740036670 888044004 1110055005 1480073340 2220110010 4440220020