Search a number
-
+
22222042220 = 22571013135021
BaseRepresentation
bin10100101100100010…
…010111010001101100
32010100200200201010202
4110230202113101230
5331002320322340
614113023253032
71414453146050
oct245442272154
963320621122
1022222042220
119473844254
12438214a178
132131b56111
14110b45dc60
158a0d8dc15
hex52c89746c

22222042220 has 96 divisors (see below), whose sum is σ = 54043790976. Its totient is φ = 7517952000.

The previous prime is 22222042217. The next prime is 22222042229. The reversal of 22222042220 is 2224022222.

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 = 22222042192 and 22222042201.

It is not an unprimeable number, because it can be changed into a prime (22222042229) 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, 4423310 + ... + 4428330.

It is an arithmetic number, because the mean of its divisors is an integer number (562956156).

Almost surely, 222222042220 is an apocalyptic number.

22222042220 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 22222042220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27021895488).

22222042220 is an abundant number, since it is smaller than the sum of its proper divisors (31821748756).

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

22222042220 is a wasteful number, since it uses less digits than its factorization.

22222042220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5451 (or 5449 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 22222042220 its reverse (2224022222), we get a palindrome (24446064442).

The spelling of 22222042220 in words is "twenty-two billion, two hundred twenty-two million, forty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 313 404 505 626 707 1010 1252 1414 1565 2020 2191 2828 3130 3535 4382 5021 6260 7070 8764 10042 10955 14140 20084 21910 25105 31613 35147 43820 50210 63226 70294 100420 126452 140588 158065 175735 221291 316130 351470 442582 507121 632260 702940 885164 1014242 1106455 1571573 2028484 2212910 2535605 3143146 3549847 4425820 5071210 6286292 7099694 7857865 10142420 11001011 14199388 15715730 17749235 22002022 31431460 35498470 44004044 55005055 70996940 110010110 158728873 220020220 317457746 634915492 793644365 1111102111 1587288730 2222204222 3174577460 4444408444 5555510555 11111021110 22222042220