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22112221120 = 265116919091
BaseRepresentation
bin10100100101111111…
…011011011111000000
32010002001001012220121
4110211333123133000
5330241212033440
614054101350024
71411650530653
oct244577333700
963061035817
1022112221120
119417855010
124351408314
132115184312
1410daa3389a
158963e934a
hex525fdb7c0

22112221120 has 112 divisors (see below), whose sum is σ = 57530975616. Its totient is φ = 8028288000.

The previous prime is 22112221073. The next prime is 22112221121. The reversal of 22112221120 is 2112221122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 22112221094 and 22112221103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22112221121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2427775 + ... + 2436865.

Almost surely, 222112221120 is an apocalyptic number.

22112221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22112221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28765487808).

22112221120 is an abundant number, since it is smaller than the sum of its proper divisors (35418754496).

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

22112221120 is a wasteful number, since it uses less digits than its factorization.

22112221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9810 (or 9800 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22112221120 its reverse (2112221122), we get a palindrome (24224442242).

It can be divided in two parts, 221122 and 21120, that added together give a palindrome (242242).

The spelling of 22112221120 in words is "twenty-two billion, one hundred twelve million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 691 704 880 1382 1760 2764 3455 3520 5528 6910 7601 9091 11056 13820 15202 18182 22112 27640 30404 36364 38005 44224 45455 55280 60808 72728 76010 90910 100001 110560 121616 145456 152020 181820 200002 221120 243232 290912 304040 363640 400004 486464 500005 581824 608080 727280 800008 1000010 1216160 1454560 1600016 2000020 2432320 2909120 3200032 4000040 6281881 6400064 8000080 12563762 16000160 25127524 31409405 32000320 50255048 62818810 69100691 100510096 125637620 138201382 201020192 251275240 276402764 345503455 402040384 502550480 552805528 691006910 1005100960 1105611056 1382013820 2010201920 2211222112 2764027640 4422444224 5528055280 11056110560 22112221120