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22200044320 = 2551727492969
BaseRepresentation
bin10100101011001110…
…011100101100100000
32010022011022002200201
4110223032130230200
5330431202404240
614110515554544
71414065156166
oct245316345440
963264262621
1022200044320
119462389973
1243768bba54
13212a4234cc
141108575236
1589de95d9a
hex52b39cb20

22200044320 has 96 divisors (see below), whose sum is σ = 55571670000. Its totient is φ = 8351809536.

The previous prime is 22200044309. The next prime is 22200044329. The reversal of 22200044320 is 2344000222.

It can be written as a sum of positive squares in 8 ways, for example, as 1839037456 + 20361006864 = 42884^2 + 142692^2 .

It is not an unprimeable number, because it can be changed into a prime (22200044329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7475796 + ... + 7478764.

Almost surely, 222200044320 is an apocalyptic number.

22200044320 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 22200044320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27785835000).

22200044320 is an abundant number, since it is smaller than the sum of its proper divisors (33371625680).

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

22200044320 is a wasteful number, since it uses less digits than its factorization.

22200044320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5750 (or 5742 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

Adding to 22200044320 its reverse (2344000222), we get a palindrome (24544044542).

The spelling of 22200044320 in words is "twenty-two billion, two hundred million, forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 2749 2969 5498 5938 10996 11876 13745 14845 21992 23752 27490 29690 43984 46733 47504 50473 54980 59380 87968 93466 95008 100946 109960 118760 186932 201892 219920 233665 237520 252365 373864 403784 439840 467330 475040 504730 747728 807568 934660 1009460 1495456 1615136 1869320 2018920 3738640 4037840 7477280 8075680 8161781 16323562 32647124 40808905 65294248 81617810 130588496 138750277 163235620 261176992 277500554 326471240 555001108 652942480 693751385 1110002216 1305884960 1387502770 2220004432 2775005540 4440008864 5550011080 11100022160 22200044320