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2222013220 = 2257173732503
BaseRepresentation
bin1000010001110001…
…0011101100100100
312201212002222002221
42010130103230210
514022313410340
61004253242124
7106030541440
oct20434235444
95655088087
102222013220
11a402a5469
12520193344
1329546b22b
1417116b820
15d011944a
hex84713b24

2222013220 has 96 divisors (see below), whose sum is σ = 5663927808. Its totient is φ = 714811392.

The previous prime is 2222013217. The next prime is 2222013289. The reversal of 2222013220 is 223102222.

It is a junction number, because it is equal to n+sod(n) for n = 2222013194 and 2222013203.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 886489 + ... + 888991.

It is an arithmetic number, because the mean of its divisors is an integer number (58999248).

Almost surely, 22222013220 is an apocalyptic number.

2222013220 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 2222013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2831963904).

2222013220 is an abundant number, since it is smaller than the sum of its proper divisors (3441914588).

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

2222013220 is a wasteful number, since it uses less digits than its factorization.

2222013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909 (or 2907 counting only the distinct ones).

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

The square root of 2222013220 is about 47138.2352236483. The cubic root of 2222013220 is about 1304.9149683052.

Adding to 2222013220 its reverse (223102222), we get a palindrome (2445115442).

The spelling of 2222013220 in words is "two billion, two hundred twenty-two million, thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 373 476 595 746 1190 1492 1865 2380 2503 2611 3730 5006 5222 6341 7460 10012 10444 12515 12682 13055 17521 25030 25364 26110 31705 35042 42551 44387 50060 52220 63410 70084 85102 87605 88774 126820 170204 175210 177548 212755 221935 297857 350420 425510 443870 595714 851020 887740 933619 1191428 1489285 1867238 2978570 3734476 4668095 5957140 6535333 9336190 13070666 15871523 18672380 26141332 31743046 32676665 63486092 65353330 79357615 111100661 130706660 158715230 222201322 317430460 444402644 555503305 1111006610 2222013220