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22053333312 = 2632122931153
BaseRepresentation
bin10100100010011110…
…110010100101000000
32002220221020102000200
4110202132302211000
5330131123131222
614044155245200
71410334145253
oct244236624500
962827212020
1022053333312
1193975937aa
124335749800
132105c0666a
1410d2ca509a
15891165eac
hex5227b2940

22053333312 has 84 divisors (see below), whose sum is σ = 63265362420. Its totient is φ = 7344893952.

The previous prime is 22053333299. The next prime is 22053333329. The reversal of 22053333312 is 21333335022.

It can be written as a sum of positive squares in 2 ways, for example, as 15449495616 + 6603837696 = 124296^2 + 81264^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 692328 + ... + 723480.

Almost surely, 222053333312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22053333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31632681210).

22053333312 is an abundant number, since it is smaller than the sum of its proper divisors (41212029108).

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

22053333312 is a wasteful number, since it uses less digits than its factorization.

22053333312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32400 (or 32387 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

Adding to 22053333312 its reverse (21333335022), we get a palindrome (43386668334).

The spelling of 22053333312 in words is "twenty-two billion, fifty-three million, three hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1229 2458 3687 4916 7374 9832 11061 14748 19664 22122 29496 31153 39328 44244 58992 62306 78656 88488 93459 117984 124612 176976 186918 235968 249224 280377 353952 373836 498448 560754 707904 747672 996896 1121508 1495344 1993792 2243016 2990688 4486032 5981376 8972064 17944128 38287037 76574074 114861111 153148148 229722222 306296296 344583333 459444444 612592592 689166666 918888888 1225185184 1378333332 1837777776 2450370368 2756666664 3675555552 5513333328 7351111104 11026666656 22053333312