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30440401220 = 22519893492579
BaseRepresentation
bin11100010110011000…
…111010100101000100
32220120102222121021102
4130112120322211010
5444320220314340
621552323235232
72125225066265
oct342630724504
986512877242
1030440401220
1111a008a3a89
125a96518b18
132b416b0a38
14168ab2896c
15bd261d215
hex71663a944

30440401220 has 96 divisors (see below), whose sum is σ = 68266800000. Its totient is φ = 11368608768.

The previous prime is 30440401219. The next prime is 30440401223. The reversal of 30440401220 is 2210404403.

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 = 30440401192 and 30440401201.

It is not an unprimeable number, because it can be changed into a prime (30440401223) 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, 11801891 + ... + 11804469.

It is an arithmetic number, because the mean of its divisors is an integer number (711112500).

Almost surely, 230440401220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30440401220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34133400000).

30440401220 is an abundant number, since it is smaller than the sum of its proper divisors (37826398780).

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

30440401220 is a wasteful number, since it uses less digits than its factorization.

30440401220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3045 (or 3043 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 30440401220 its reverse (2210404403), we get a palindrome (32650805623).

The spelling of 30440401220 in words is "thirty billion, four hundred forty million, four hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 89 95 178 190 349 356 380 445 698 890 1396 1691 1745 1780 2579 3382 3490 5158 6631 6764 6980 8455 10316 12895 13262 16910 25790 26524 31061 33155 33820 49001 51580 62122 66310 98002 124244 132620 155305 196004 229531 245005 310610 459062 490010 590159 621220 900071 918124 980020 1147655 1180318 1800142 2295310 2360636 2950795 3600284 4361089 4500355 4590620 5901590 8722178 9000710 11803180 17101349 17444356 18001420 21805445 34202698 43610890 68405396 80106319 85506745 87221780 160212638 171013490 320425276 342026980 400531595 801063190 1522020061 1602126380 3044040122 6088080244 7610100305 15220200610 30440401220