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2213211220 = 22511113127701
BaseRepresentation
bin1000001111101010…
…1110110001010100
312201020112210000221
42003322232301110
514013040224340
61003340444124
7105562661563
oct20372566124
95636483027
102213211220
11a36333390
12519249644
132936a8a4c
1416dd19bda
15ce47b44a
hex83eaec54

2213211220 has 96 divisors (see below), whose sum is σ = 5162766336. Its totient is φ = 790272000.

The previous prime is 2213211191. The next prime is 2213211223. The reversal of 2213211220 is 221123122.

It is a happy number.

2213211220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2213211194 and 2213211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213211223) 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, 3156870 + ... + 3157570.

It is an arithmetic number, because the mean of its divisors is an integer number (53778816).

Almost surely, 22213211220 is an apocalyptic number.

2213211220 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 2213211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2581383168).

2213211220 is an abundant number, since it is smaller than the sum of its proper divisors (2949555116).

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

2213211220 is a wasteful number, since it uses less digits than its factorization.

2213211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2213211220 is about 47044.7788814019. The cubic root of 2213211220 is about 1303.1896468532.

Adding to 2213211220 its reverse (221123122), we get a palindrome (2434334342).

The spelling of 2213211220 in words is "two billion, two hundred thirteen million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 113 127 220 226 254 452 508 565 635 701 1130 1243 1270 1397 1402 2260 2486 2540 2794 2804 3505 4972 5588 6215 6985 7010 7711 12430 13970 14020 14351 15422 24860 27940 28702 30844 38555 57404 71755 77110 79213 89027 143510 154220 157861 158426 178054 287020 315722 316852 356108 396065 445135 631444 789305 792130 871343 890270 979297 1578610 1584260 1742686 1780540 1958594 3157220 3485372 3917188 4356715 4896485 8713430 9792970 10060051 17426860 19585940 20120102 40240204 50300255 100600510 110660561 201201020 221321122 442642244 553302805 1106605610 2213211220