Search a number
-
+
2217600220 = 2251126338327
BaseRepresentation
bin1000010000101101…
…1110010011011100
312201112210202121111
42010023132103130
514020201201340
61004014511404
7105645201523
oct20413362334
95645722544
102217600220
11a38860960
1251a805564
132945846a4
1417073d4ba
15cea46aea
hex842de4dc

2217600220 has 48 divisors (see below), whose sum is σ = 5099770368. Its totient is φ = 803312960.

The previous prime is 2217600211. The next prime is 2217600233. The reversal of 2217600220 is 220067122.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2217600191 and 2217600200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38697 + ... + 77023.

It is an arithmetic number, because the mean of its divisors is an integer number (106245216).

Almost surely, 22217600220 is an apocalyptic number.

2217600220 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 2217600220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549885184).

2217600220 is an abundant number, since it is smaller than the sum of its proper divisors (2882170148).

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

2217600220 is a wasteful number, since it uses less digits than its factorization.

2217600220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38610 (or 38608 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 2217600220 is about 47091.4028247195. The cubic root of 2217600220 is about 1304.0505260699.

Adding to 2217600220 its reverse (220067122), we get a palindrome (2437667342).

The spelling of 2217600220 in words is "two billion, two hundred seventeen million, six hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 263 526 1052 1315 2630 2893 5260 5786 11572 14465 28930 38327 57860 76654 153308 191635 383270 421597 766540 843194 1686388 2107985 4215970 8431940 10080001 20160002 40320004 50400005 100800010 110880011 201600020 221760022 443520044 554400055 1108800110 2217600220