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22134212320 = 2551112576257
BaseRepresentation
bin10100100111010011…
…010100011011100000
32010010120102111011111
4110213103110123200
5330312324243240
614100204553104
71412335462153
oct244723243340
963116374144
1022134212320
119429205360
124358852794
1321198b3b6c
1410dd919c9a
158982e01ea
hex5274d46e0

22134212320 has 48 divisors (see below), whose sum is σ = 57045906288. Its totient is φ = 8048803840.

The previous prime is 22134212293. The next prime is 22134212323. The reversal of 22134212320 is 2321243122.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 22134212291 and 22134212300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22134212323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6286369 + ... + 6289888.

It is an arithmetic number, because the mean of its divisors is an integer number (1188456381).

Almost surely, 222134212320 is an apocalyptic number.

22134212320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22134212320 is an abundant number, since it is smaller than the sum of its proper divisors (34911693968).

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

22134212320 is a wasteful number, since it uses less digits than its factorization.

22134212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12576283 (or 12576275 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 22134212320 its reverse (2321243122), we get a palindrome (24455455442).

The spelling of 22134212320 in words is "twenty-two billion, one hundred thirty-four million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 12576257 25152514 50305028 62881285 100610056 125762570 138338827 201220112 251525140 276677654 402440224 503050280 553355308 691694135 1006100560 1106710616 1383388270 2012201120 2213421232 2766776540 4426842464 5533553080 11067106160 22134212320