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22123213312 = 291913916361
BaseRepresentation
bin10100100110101001…
…010111001000000000
32010002210201200100211
4110212221113020000
5330302020311222
614055133123504
71412143132114
oct244651271000
963083650324
1022123213312
119422a82672
124355029594
132117532685
1410dc295744
1589736b277
hex526a57200

22123213312 has 80 divisors (see below), whose sum is σ = 46867312800. Its totient is φ = 10403389440.

The previous prime is 22123213309. The next prime is 22123213361. The reversal of 22123213312 is 21331232122.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1344012 + ... + 1360372.

It is an arithmetic number, because the mean of its divisors is an integer number (585841410).

Almost surely, 222123213312 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 22123213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23433656400).

22123213312 is an abundant number, since it is smaller than the sum of its proper divisors (24744099488).

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

22123213312 is a wasteful number, since it uses less digits than its factorization.

22123213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16537 (or 16521 counting only the distinct ones).

The product of its digits is 864, while the sum is 22.

Adding to 22123213312 its reverse (21331232122), we get a palindrome (43454445434).

The spelling of 22123213312 in words is "twenty-two billion, one hundred twenty-three million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 139 152 256 278 304 512 556 608 1112 1216 2224 2432 2641 4448 4864 5282 8896 9728 10564 16361 17792 21128 32722 35584 42256 65444 71168 84512 130888 169024 261776 310859 338048 523552 621718 676096 1047104 1243436 1352192 2094208 2274179 2486872 4188416 4548358 4973744 8376832 9096716 9947488 18193432 19894976 36386864 39789952 43209401 72773728 79579904 86418802 145547456 159159808 172837604 291094912 345675208 582189824 691350416 1164379648 1382700832 2765401664 5530803328 11061606656 22123213312