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2230221220 = 2252329315393
BaseRepresentation
bin1000010011101110…
…0111100110100100
312202102112222100221
42010323213212210
514031414034340
61005145214124
7106160365453
oct20473474644
95672488327
102230221220
11a449a1237
12522a91344
13297083236
141722a6b9a
15d0bdb44a
hex84ee79a4

2230221220 has 96 divisors (see below), whose sum is σ = 5219665920. Its totient is φ = 797153280.

The previous prime is 2230221209. The next prime is 2230221221. The reversal of 2230221220 is 221220322.

2230221220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2230221194 and 2230221203.

It is not an unprimeable number, because it can be changed into a prime (2230221221) 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, 410844 + ... + 416236.

It is an arithmetic number, because the mean of its divisors is an integer number (54371520).

Almost surely, 22230221220 is an apocalyptic number.

2230221220 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 2230221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609832960).

2230221220 is an abundant number, since it is smaller than the sum of its proper divisors (2989444700).

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

2230221220 is a wasteful number, since it uses less digits than its factorization.

2230221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5485 (or 5483 counting only the distinct ones).

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

The square root of 2230221220 is about 47225.2180513759. The cubic root of 2230221220 is about 1306.5197563499.

Adding to 2230221220 its reverse (221220322), we get a palindrome (2451441542).

The spelling of 2230221220 in words is "two billion, two hundred thirty million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 29 31 46 58 62 92 115 116 124 145 155 230 290 310 460 580 620 667 713 899 1334 1426 1798 2668 2852 3335 3565 3596 4495 5393 6670 7130 8990 10786 13340 14260 17980 20677 21572 26965 41354 53930 82708 103385 107860 124039 156397 167183 206770 248078 312794 334366 413540 496156 620195 625588 668732 781985 835915 1240390 1563970 1671830 2480780 3127940 3343660 3597131 3845209 4848307 7194262 7690418 9696614 14388524 15380836 17985655 19226045 19393228 24241535 35971310 38452090 48483070 71942620 76904180 96966140 111511061 223022122 446044244 557555305 1115110610 2230221220