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22201122112 = 261328194961
BaseRepresentation
bin10100101011010010…
…100011110101000000
32010022020022212010221
4110223102203311000
5330431441401422
614110555032424
71414110265351
oct245322436500
963266285127
1022201122112
119462a55704
12437713b714
13212a70cc60
141108775d28
1589e10a3c7
hex52b4a3d40

22201122112 has 56 divisors (see below), whose sum is σ = 47613566952. Its totient is φ = 10210099200.

The previous prime is 22201122107. The next prime is 22201122121. The reversal of 22201122112 is 21122110222.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5802782976 + 16398339136 = 76176^2 + 128056^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186312 + ... + 281272.

It is an arithmetic number, because the mean of its divisors is an integer number (850242267).

Almost surely, 222201122112 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 22201122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23806783476).

22201122112 is an abundant number, since it is smaller than the sum of its proper divisors (25412444840).

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

22201122112 is a wasteful number, since it uses less digits than its factorization.

22201122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95267 (or 95257 counting only the distinct ones).

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

Adding to 22201122112 its reverse (21122110222), we get a palindrome (43323232334).

The spelling of 22201122112 in words is "twenty-two billion, two hundred one million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 281 416 562 832 1124 2248 3653 4496 7306 8992 14612 17984 29224 58448 94961 116896 189922 233792 379844 759688 1234493 1519376 2468986 3038752 4937972 6077504 9875944 19751888 26684041 39503776 53368082 79007552 106736164 213472328 346892533 426944656 693785066 853889312 1387570132 1707778624 2775140264 5550280528 11100561056 22201122112