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2204042220 = 2232544927271
BaseRepresentation
bin1000001101011111…
…0000001111101100
312200121021221112100
42003113300033230
514003213322340
61002412135100
7105422023032
oct20327601754
95617257470
102204042220
11a311405a6
12516167490
132918184c3
1416ca10552
15cd769830
hex835f03ec

2204042220 has 72 divisors (see below), whose sum is σ = 6700730400. Its totient is φ = 586414080.

The previous prime is 2204042213. The next prime is 2204042227. The reversal of 2204042220 is 222404022.

2204042220 is a `hidden beast` number, since 220 + 4 + 0 + 422 + 20 = 666.

2204042220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2204042213) and next prime (2204042227).

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 = 2204042193 and 2204042202.

It is not an unprimeable number, because it can be changed into a prime (2204042227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67185 + ... + 94455.

It is an arithmetic number, because the mean of its divisors is an integer number (93065700).

Almost surely, 22204042220 is an apocalyptic number.

2204042220 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 2204042220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3350365200).

2204042220 is an abundant number, since it is smaller than the sum of its proper divisors (4496688180).

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

2204042220 is a wasteful number, since it uses less digits than its factorization.

2204042220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27735 (or 27730 counting only the distinct ones).

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

The square root of 2204042220 is about 46947.2280331864. The cubic root of 2204042220 is about 1301.3875165759.

Adding to 2204042220 its reverse (222404022), we get a palindrome (2426446242).

The spelling of 2204042220 in words is "two billion, two hundred four million, forty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 449 898 1347 1796 2245 2694 4041 4490 5388 6735 8082 8980 13470 16164 20205 26940 27271 40410 54542 80820 81813 109084 136355 163626 245439 272710 327252 409065 490878 545420 818130 981756 1227195 1636260 2454390 4908780 12244679 24489358 36734037 48978716 61223395 73468074 110202111 122446790 146936148 183670185 220404222 244893580 367340370 440808444 551010555 734680740 1102021110 2204042220