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22400112114 = 234239676217
BaseRepresentation
bin10100110111001001…
…101001010111110010
32010211002202121010000
4110313021221113302
5331333412041424
614142424050430
71422044545212
oct246711512762
963732677100
1022400112114
119555308856
124411903a16
13215ca02613
141126d74242
158b18153c9
hex5372695f2

22400112114 has 80 divisors (see below), whose sum is σ = 52437737088. Its totient is φ = 7133531328.

The previous prime is 22400112083. The next prime is 22400112131. The reversal of 22400112114 is 41121100422.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3599934 + ... + 3606150.

Almost surely, 222400112114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22400112114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26218868544).

22400112114 is an abundant number, since it is smaller than the sum of its proper divisors (30037624974).

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

22400112114 is a wasteful number, since it uses less digits than its factorization.

22400112114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7221 (or 7212 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22400112114 its reverse (41121100422), we get a palindrome (63521212536).

The spelling of 22400112114 in words is "twenty-two billion, four hundred million, one hundred twelve thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 414 621 967 1242 1863 1934 2901 3726 5802 6217 8703 12434 17406 18651 22241 26109 37302 44482 52218 55953 66723 78327 111906 133446 142991 156654 167859 200169 285982 335718 400338 428973 503577 600507 857946 1007154 1201014 1286919 1801521 2573838 3603042 3860757 6011839 7721514 11582271 12023678 18035517 23164542 36071034 54106551 108213102 138272297 162319653 276544594 324639306 414816891 486958959 829633782 973917918 1244450673 2488901346 3733352019 7466704038 11200056057 22400112114