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22112040312 = 2334229149011
BaseRepresentation
bin10100100101111110…
…101111010101111000
32010002000201000220000
4110211332233111320
5330241140242222
614054053433000
71411646145555
oct244576572570
963060630800
1022112040312
11941774118a
12435133b760
13211511cc2b
1410da9c7a2c
158963b09ac
hex525faf578

22112040312 has 80 divisors (see below), whose sum is σ = 62205059400. Its totient is φ = 7338444480.

The previous prime is 22112040289. The next prime is 22112040317. The reversal of 22112040312 is 21304021122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22112040317) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 73887 + ... + 222897.

Almost surely, 222112040312 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 22112040312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31102529700).

22112040312 is an abundant number, since it is smaller than the sum of its proper divisors (40093019088).

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

22112040312 is a wasteful number, since it uses less digits than its factorization.

22112040312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149258 (or 149245 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22112040312 its reverse (21304021122), we get a palindrome (43416061434).

The spelling of 22112040312 in words is "twenty-two billion, one hundred twelve million, forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 229 324 458 648 687 916 1374 1832 2061 2748 4122 5496 6183 8244 12366 16488 18549 24732 37098 49464 74196 148392 149011 298022 447033 596044 894066 1192088 1341099 1788132 2682198 3576264 4023297 5364396 8046594 10728792 12069891 16093188 24139782 32186376 34123519 48279564 68247038 96559128 102370557 136494076 204741114 272988152 307111671 409482228 614223342 818964456 921335013 1228446684 1842670026 2456893368 2764005039 3685340052 5528010078 7370680104 11056020156 22112040312