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22150073288 = 237275172
BaseRepresentation
bin10100101000001111…
…110100101111001000
32010011200021022022202
4110220033310233020
5330330404321123
614101532535332
71412620342100
oct245017645710
963150238282
1022150073288
1194371589a2
124362021548
13211cc78355
141101a88200
158998c4a28
hex5283f4bc8

22150073288 has 36 divisors (see below), whose sum is σ = 48318449985. Its totient is φ = 9491625696.

The previous prime is 22150073263. The next prime is 22150073321. The reversal of 22150073288 is 88237005122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 16470642244 + 5679431044 = 128338^2 + 75362^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105238.

It is a super-2 number, since 2×221500732882 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2942906 + ... + 2950422.

Almost surely, 222150073288 is an apocalyptic number.

22150073288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

22150073288 is an abundant number, since it is smaller than the sum of its proper divisors (26168376697).

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

22150073288 is an frugal number, since it uses more digits than its factorization.

22150073288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15054 (or 7526 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The spelling of 22150073288 in words is "twenty-two billion, one hundred fifty million, seventy-three thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 7517 15034 30068 52619 60136 105238 210476 368333 420952 736666 1473332 2946664 56505289 113010578 226021156 395537023 452042312 791074046 1582148092 2768759161 3164296184 5537518322 11075036644 22150073288