Search a number
-
+
2213321220 = 2233511372613
BaseRepresentation
bin1000001111101100…
…1001101000000100
312201020202100221000
42003323021220010
514013102234340
61003343053300
7105563630355
oct20373115004
95636670830
102213321220
11a363a8aa0
125192a1230
13293716b36
1416dd47d2c
15ce49dd30
hex83ec9a04

2213321220 has 96 divisors (see below), whose sum is σ = 7511898240. Its totient is φ = 536561280.

The previous prime is 2213321219. The next prime is 2213321233. The reversal of 2213321220 is 221233122.

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 = 2213321193 and 2213321202.

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, 180367 + ... + 192246.

It is an arithmetic number, because the mean of its divisors is an integer number (78248940).

Almost surely, 22213321220 is an apocalyptic number.

2213321220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2213321220 is an abundant number, since it is smaller than the sum of its proper divisors (5298577020).

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

2213321220 is a wasteful number, since it uses less digits than its factorization.

2213321220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372642 (or 372634 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2213321220 is about 47045.9479657919. The cubic root of 2213321220 is about 1303.2112366718.

Adding to 2213321220 its reverse (221233122), we get a palindrome (2434554342).

The spelling of 2213321220 in words is "two billion, two hundred thirteen million, three hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 372613 745226 1117839 1490452 1863065 2235678 3353517 3726130 4098743 4471356 5589195 6707034 7452260 8197486 10060551 11178390 12296229 13414068 16394972 16767585 20121102 20493715 22356780 24592458 33535170 36888687 40242204 40987430 49184916 50302755 61481145 67070340 73777374 81974860 100605510 110666061 122962290 147554748 184443435 201211020 221332122 245924580 368886870 442664244 553330305 737773740 1106660610 2213321220