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22434302220 = 223511311109297
BaseRepresentation
bin10100111001001100…
…000100100100001100
32010220111002122010020
4110321030010210030
5331421140132340
614150044542140
71422641264631
oct247114044414
963814078106
1022434302220
119572640340
124421251950
132166b13855
14112b714188
158b481a9d0
hex53930490c

22434302220 has 96 divisors (see below), whose sum is σ = 68747567616. Its totient is φ = 5421081600.

The previous prime is 22434302203. The next prime is 22434302227. The reversal of 22434302220 is 2220343422.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22434302227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150612 + ... + 259908.

It is an arithmetic number, because the mean of its divisors is an integer number (716120496).

Almost surely, 222434302220 is an apocalyptic number.

22434302220 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 22434302220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34373783808).

22434302220 is an abundant number, since it is smaller than the sum of its proper divisors (46313265396).

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

22434302220 is a wasteful number, since it uses less digits than its factorization.

22434302220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109631 (or 109629 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 22434302220 its reverse (2220343422), we get a palindrome (24654645642).

The spelling of 22434302220 in words is "twenty-two billion, four hundred thirty-four million, three hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 311 330 622 660 933 1244 1555 1866 3110 3421 3732 4665 6220 6842 9330 10263 13684 17105 18660 20526 34210 41052 51315 68420 102630 109297 205260 218594 327891 437188 546485 655782 1092970 1202267 1311564 1639455 2185940 2404534 3278910 3606801 4809068 6011335 6557820 7213602 12022670 14427204 18034005 24045340 33991367 36068010 67982734 72136020 101974101 135965468 169956835 203948202 339913670 373905037 407896404 509870505 679827340 747810074 1019741010 1121715111 1495620148 1869525185 2039482020 2243430222 3739050370 4486860444 5608575555 7478100740 11217151110 22434302220