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2201331220 = 2251123072963
BaseRepresentation
bin1000001100110101…
…1010011000010100
312200102012012201221
42003031122120110
514002020044340
61002234100124
7105360002164
oct20315323024
95612165657
102201331220
11a2a659800
1251527a644
132910a956a
1416c5065a4
15cd3d144a
hex8335a614

2201331220 has 72 divisors (see below), whose sum is σ = 5099526432. Its totient is φ = 797607360.

The previous prime is 2201331157. The next prime is 2201331221. The reversal of 2201331220 is 221331022.

It is a junction number, because it is equal to n+sod(n) for n = 2201331194 and 2201331203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201331221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 741459 + ... + 744421.

It is an arithmetic number, because the mean of its divisors is an integer number (70826756).

Almost surely, 22201331220 is an apocalyptic number.

2201331220 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 2201331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549763216).

2201331220 is an abundant number, since it is smaller than the sum of its proper divisors (2898195212).

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

2201331220 is a wasteful number, since it uses less digits than its factorization.

2201331220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301 (or 3288 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2201331220 is about 46918.3463050436. The cubic root of 2201331220 is about 1300.8537232522.

Adding to 2201331220 its reverse (221331022), we get a palindrome (2422662242).

The spelling of 2201331220 in words is "two billion, two hundred one million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 307 484 605 614 1210 1228 1535 2420 2963 3070 3377 5926 6140 6754 11852 13508 14815 16885 29630 32593 33770 37147 59260 65186 67540 74294 130372 148588 162965 185735 325930 358523 371470 651860 717046 742940 909641 1434092 1792615 1819282 3585230 3638564 4548205 7170460 9096410 10006051 18192820 20012102 40024204 50030255 100060510 110066561 200121020 220133122 440266244 550332805 1100665610 2201331220