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4400224020 = 2233561133583
BaseRepresentation
bin1000001100100011…
…00001011100010100
3102100122210112121000
410012101201130110
533002424132040
62004344023300
7214020200313
oct40621413424
912318715530
104400224020
1119588a2485
12a29761b30
13551810c6a
142da57627a
151ab480130
hex106461714

4400224020 has 96 divisors (see below), whose sum is σ = 13914109440. Its totient is φ = 1154148480.

The previous prime is 4400223983. The next prime is 4400224021. The reversal of 4400224020 is 204220044.

4400224020 is a `hidden beast` number, since 4 + 400 + 2 + 240 + 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 = 4400223984 and 4400224002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4400224021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33852 + ... + 99731.

It is an arithmetic number, because the mean of its divisors is an integer number (144938640).

Almost surely, 24400224020 is an apocalyptic number.

It is an amenable number.

4400224020 is an abundant number, since it is smaller than the sum of its proper divisors (9513885420).

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

4400224020 is a wasteful number, since it uses less digits than its factorization.

4400224020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133662 (or 133654 counting only the distinct ones).

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

The square root of 4400224020 is about 66334.1843999005. The cubic root of 4400224020 is about 1638.6703504795.

Adding to 4400224020 its reverse (204220044), we get a palindrome (4604444064).

The spelling of 4400224020 in words is "four billion, four hundred million, two hundred twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 61 90 108 122 135 180 183 244 270 305 366 540 549 610 732 915 1098 1220 1647 1830 2196 2745 3294 3660 5490 6588 8235 10980 16470 32940 133583 267166 400749 534332 667915 801498 1202247 1335830 1602996 2003745 2404494 2671660 3606741 4007490 4808988 6011235 7213482 8014980 8148563 12022470 14426964 16297126 18033705 24044940 24445689 32594252 36067410 40742815 48891378 72134820 73337067 81485630 97782756 122228445 146674134 162971260 220011201 244456890 293348268 366685335 440022402 488913780 733370670 880044804 1100056005 1466741340 2200112010 4400224020