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22130373366 = 234596137957
BaseRepresentation
bin10100100111000100…
…101011001011110110
32010010022012110010000
4110213010223023312
5330310333421431
614055550412130
71412261032653
oct244704531366
963108173100
1022130373366
119427023072
124357501046
132118b6b6aa
1410dd1dac2a
15897cd29e6
hex52712b2f6

22130373366 has 80 divisors (see below), whose sum is σ = 51256964880. Its totient is φ = 7132691520.

The previous prime is 22130373361. The next prime is 22130373413. The reversal of 22130373366 is 66337303122.

22130373366 is a `hidden beast` number, since 221 + 3 + 0 + 3 + 73 + 366 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 22130373366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22130373361) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 564060 + ... + 602016.

It is an arithmetic number, because the mean of its divisors is an integer number (640712061).

Almost surely, 222130373366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22130373366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25628482440).

22130373366 is an abundant number, since it is smaller than the sum of its proper divisors (29126591514).

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

22130373366 is a wasteful number, since it uses less digits than its factorization.

22130373366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38091 (or 38082 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 36.

Adding to 22130373366 its reverse (66337303122), we get a palindrome (88467676488).

The spelling of 22130373366 in words is "twenty-two billion, one hundred thirty million, three hundred seventy-three thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 59 61 81 118 122 162 177 183 354 366 531 549 1062 1098 1593 1647 3186 3294 3599 4779 4941 7198 9558 9882 10797 21594 32391 37957 64782 75914 97173 113871 194346 227742 291519 341613 583038 683226 1024839 2049678 2239463 2315377 3074517 4478926 4630754 6149034 6718389 6946131 13436778 13892262 20155167 20838393 40310334 41676786 60465501 62515179 120931002 125030358 136607243 181396503 187545537 273214486 362793006 375091074 409821729 819643458 1229465187 2458930374 3688395561 7376791122 11065186683 22130373366