Search a number
-
+
2202021220 = 225717947977
BaseRepresentation
bin1000001101000000…
…0010110101100100
312200110111021020111
42003100002311210
514002204134340
61002300542404
7105365604640
oct20320026544
95613437214
102202021220
11a2aa90153
12515551a04
1329128b649
1416c645c20
15cd4baaea
hex83402d64

2202021220 has 96 divisors (see below), whose sum is σ = 5607366912. Its totient is φ = 709091328.

The previous prime is 2202021191. The next prime is 2202021253. The reversal of 2202021220 is 221202022.

It is a self number, because there is not a number n which added to its sum of digits gives 2202021220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2253372 + ... + 2254348.

It is an arithmetic number, because the mean of its divisors is an integer number (58410072).

Almost surely, 22202021220 is an apocalyptic number.

2202021220 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 2202021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803683456).

2202021220 is an abundant number, since it is smaller than the sum of its proper divisors (3405345692).

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

2202021220 is a wasteful number, since it uses less digits than its factorization.

2202021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2202021220 is about 46925.6989292648. The cubic root of 2202021220 is about 1300.9896251548.

Adding to 2202021220 its reverse (221202022), we get a palindrome (2423223242).

The spelling of 2202021220 in words is "two billion, two hundred two million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 947 977 1190 1894 1954 2380 3788 3908 4735 4885 6629 6839 9470 9770 13258 13678 16099 16609 18940 19540 26516 27356 32198 33145 33218 34195 64396 66290 66436 68390 80495 83045 112693 116263 132580 136780 160990 166090 225386 232526 321980 332180 450772 465052 563465 581315 925219 1126930 1162630 1850438 2253860 2325260 3700876 4626095 6476533 9252190 12953066 15728723 18504380 25906132 31457446 32382665 62914892 64765330 78643615 110101061 129530660 157287230 220202122 314574460 440404244 550505305 1101010610 2202021220