Search a number
-
+
1720220220 = 223355236091
BaseRepresentation
bin110011010001000…
…0111101000111100
311102212220020112000
41212202013220330
512010334021340
6442410142300
760425426205
oct14642075074
94385806460
101720220220
11803023a04
12400121990
13215508cb4
1412466a5ac
15a1049d30
hex66887a3c

1720220220 has 96 divisors (see below), whose sum is σ = 5362909440. Its totient is φ = 457773120.

The previous prime is 1720220171. The next prime is 1720220221. The reversal of 1720220220 is 220220271.

It is a happy number.

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 = 1720220193 and 1720220202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1720220221) 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, 279375 + ... + 285465.

It is an arithmetic number, because the mean of its divisors is an integer number (55863640).

Almost surely, 21720220220 is an apocalyptic number.

1720220220 is a gapful number since it is divisible by the number (10) 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 1720220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681454720).

1720220220 is an abundant number, since it is smaller than the sum of its proper divisors (3642689220).

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

1720220220 is a wasteful number, since it uses less digits than its factorization.

1720220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6632 (or 6624 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 1720220220 is about 41475.5376095356. The cubic root of 1720220220 is about 1198.1964155942.

Adding to 1720220220 its reverse (220220271), we get a palindrome (1940440491).

The spelling of 1720220220 in words is "one billion, seven hundred twenty million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 523 540 1046 1569 2092 2615 3138 4707 5230 6091 6276 7845 9414 10460 12182 14121 15690 18273 18828 23535 24364 28242 30455 31380 36546 47070 54819 56484 60910 70605 73092 91365 94140 109638 121820 141210 164457 182730 219276 274095 282420 328914 365460 548190 657828 822285 1096380 1644570 3185593 3289140 6371186 9556779 12742372 15927965 19113558 28670337 31855930 38227116 47783895 57340674 63711860 86011011 95567790 114681348 143351685 172022022 191135580 286703370 344044044 430055055 573406740 860110110 1720220220