Search a number
-
+
22122223220 = 2254127199551
BaseRepresentation
bin10100100110100101…
…100101011001110100
32010002201212101012202
4110212211211121310
5330301242120340
614055100004032
71412131536416
oct244645453164
963081771182
1022122223220
119422466809
124354830618
132117276b16
1410dc0b89b6
15897222c15
hex526965674

22122223220 has 48 divisors (see below), whose sum is σ = 47765846016. Its totient is φ = 8601120000.

The previous prime is 22122223177. The next prime is 22122223259. The reversal of 22122223220 is 2232222122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22122223192 and 22122223201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172445 + ... + 271995.

It is an arithmetic number, because the mean of its divisors is an integer number (995121792).

Almost surely, 222122223220 is an apocalyptic number.

22122223220 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 22122223220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23882923008).

22122223220 is an abundant number, since it is smaller than the sum of its proper divisors (25643622796).

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

22122223220 is a wasteful number, since it uses less digits than its factorization.

22122223220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99872 (or 99870 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22122223220 its reverse (2232222122), we get a palindrome (24354445342).

It can be divided in two parts, 221222 and 23220, that added together give a palindrome (244442).

The spelling of 22122223220 in words is "twenty-two billion, one hundred twenty-two million, two hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 271 410 542 820 1084 1355 2710 5420 11111 22222 44444 55555 99551 111110 199102 222220 398204 497755 995510 1991020 4081591 8163182 16326364 20407955 26978321 40815910 53956642 81631820 107913284 134891605 269783210 539566420 1106111161 2212222322 4424444644 5530555805 11061111610 22122223220