Search a number
-
+
1222022120 = 235117873529
BaseRepresentation
bin100100011010110…
…1001001111101000
310011011110011012112
41020311221033220
510000314201440
6321132101452
742166005464
oct11065511750
93134404175
101222022120
11577888340
122a1304888
13166235117
14b84234a4
157243a965
hex48d693e8

1222022120 has 64 divisors (see below), whose sum is σ = 3004171200. Its totient is φ = 443681280.

The previous prime is 1222022119. The next prime is 1222022141. The reversal of 1222022120 is 212202221.

It is a junction number, because it is equal to n+sod(n) for n = 1222022095 and 1222022104.

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, 344516 + ... + 348044.

It is an arithmetic number, because the mean of its divisors is an integer number (46940175).

Almost surely, 21222022120 is an apocalyptic number.

1222022120 is a gapful number since it is divisible by the number (10) 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 1222022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502085600).

1222022120 is an abundant number, since it is smaller than the sum of its proper divisors (1782149080).

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

1222022120 is a wasteful number, since it uses less digits than its factorization.

1222022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4338 (or 4334 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1222022120 is about 34957.4329721162. The cubic root of 1222022120 is about 1069.1197582007.

Adding to 1222022120 its reverse (212202221), we get a palindrome (1434224341).

The spelling of 1222022120 in words is "one billion, two hundred twenty-two million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 787 1574 3148 3529 3935 6296 7058 7870 8657 14116 15740 17314 17645 28232 31480 34628 35290 38819 43285 69256 70580 77638 86570 141160 155276 173140 194095 310552 346280 388190 776380 1552760 2777323 5554646 11109292 13886615 22218584 27773230 30550553 55546460 61101106 111092920 122202212 152752765 244404424 305505530 611011060 1222022120