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22120323312 = 2433729342509
BaseRepresentation
bin10100100110011110…
…010101100011110000
32010002121021212000210
4110212132111203300
5330300300321222
614054551144120
71412106434343
oct244636254360
963077255023
1022120323312
11942138933a
124354075040
132116a60109
1410dbb4245a
15896e99d0c
hex5267958f0

22120323312 has 80 divisors (see below), whose sum is σ = 58890293280. Its totient is φ = 7149505536.

The previous prime is 22120323307. The next prime is 22120323331. The reversal of 22120323312 is 21332302122.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499114 + ... + 541622.

It is an arithmetic number, because the mean of its divisors is an integer number (736128666).

Almost surely, 222120323312 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 22120323312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29445146640).

22120323312 is an abundant number, since it is smaller than the sum of its proper divisors (36769969968).

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

22120323312 is a wasteful number, since it uses less digits than its factorization.

22120323312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42850 (or 42844 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 22120323312 its reverse (21332302122), we get a palindrome (43452625434).

The spelling of 22120323312 in words is "twenty-two billion, one hundred twenty million, three hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 293 296 444 586 592 879 888 1172 1758 1776 2344 3516 4688 7032 10841 14064 21682 32523 42509 43364 65046 85018 86728 127527 130092 170036 173456 255054 260184 340072 510108 520368 680144 1020216 1572833 2040432 3145666 4718499 6291332 9436998 12455137 12582664 18873996 24910274 25165328 37365411 37747992 49820548 74730822 75495984 99641096 149461644 199282192 298923288 460840069 597846576 921680138 1382520207 1843360276 2765040414 3686720552 5530080828 7373441104 11060161656 22120323312