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22011000192 = 273255734303
BaseRepresentation
bin10100011111111101…
…010011010110000000
32002210222120122220100
4110133331103112000
5330034304001232
614040044042400
71406311262136
oct243775232600
962728518810
1022011000192
1193756aa255
124323533400
1320ca203b8c
1410cb405756
1588c5a2c7c
hex51ff53580

22011000192 has 96 divisors (see below), whose sum is σ = 63454510080. Its totient is φ = 7323614208.

The previous prime is 22011000181. The next prime is 22011000199. The reversal of 22011000192 is 29100011022.

It is a tau number, because it is divible by the number of its divisors (96).

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 (22011000199) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 624513 + ... + 658815.

It is an arithmetic number, because the mean of its divisors is an integer number (660984480).

Almost surely, 222011000192 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 22011000192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31727255040).

22011000192 is an abundant number, since it is smaller than the sum of its proper divisors (41443509888).

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

22011000192 is a wasteful number, since it uses less digits than its factorization.

22011000192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34880 (or 34865 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 22011000192 in words is "twenty-two billion, eleven million, one hundred ninety-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 557 576 1114 1152 1671 2228 3342 4456 5013 6684 8912 10026 13368 17824 20052 26736 34303 35648 40104 53472 68606 71296 80208 102909 106944 137212 160416 205818 213888 274424 308727 320832 411636 548848 617454 641664 823272 1097696 1234908 1646544 2195392 2469816 3293088 4390784 4939632 6586176 9879264 13172352 19106771 19758528 38213542 39517056 57320313 76427084 114640626 152854168 171960939 229281252 305708336 343921878 458562504 611416672 687843756 917125008 1222833344 1375687512 1834250016 2445666688 2751375024 3668500032 5502750048 7337000064 11005500096 22011000192