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22203220128 = 253271185313
BaseRepresentation
bin10100101011011010…
…100100000010100000
32010022101021110002020
4110223122210002200
5330433011021003
614111112021440
71414134154125
oct245332440240
963271243066
1022203220128
119464158a01
124377991880
13212ac95b9b
141108b6074c
1589e3c1d53
hex52b6a40a0

22203220128 has 48 divisors (see below), whose sum is σ = 58305635136. Its totient is φ = 7398256640.

The previous prime is 22203220121. The next prime is 22203220129. The reversal of 22203220128 is 82102230222.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 22203220098 and 22203220107.

It is not an unprimeable number, because it can be changed into a prime (22203220121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217600 + ... + 302912.

It is an arithmetic number, because the mean of its divisors is an integer number (1214700732).

Almost surely, 222203220128 is an apocalyptic number.

It is an amenable number.

22203220128 is an abundant number, since it is smaller than the sum of its proper divisors (36102415008).

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

22203220128 is a wasteful number, since it uses less digits than its factorization.

22203220128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88037 (or 88029 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 22203220128 in words is "twenty-two billion, two hundred three million, two hundred twenty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2711 5422 8133 10844 16266 21688 32532 43376 65064 85313 86752 130128 170626 255939 260256 341252 511878 682504 1023756 1365008 2047512 2730016 4095024 8190048 231283543 462567086 693850629 925134172 1387701258 1850268344 2775402516 3700536688 5550805032 7401073376 11101610064 22203220128