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22228591400 = 2352176537821
BaseRepresentation
bin10100101100111011…
…010110001100101000
32010101011000102220222
4110230323112030220
5331011004411100
614113415505212
71414562623631
oct245473261450
963334012828
1022228591400
1194775077a4
124384388208
13213330a082
14110c286888
158a1734485
hex52ced6328

22228591400 has 48 divisors (see below), whose sum is σ = 54721570140. Its totient is φ = 8368409600.

The previous prime is 22228591393. The next prime is 22228591403. The reversal of 22228591400 is 419582222.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 14122470244 + 8106121156 = 118838^2 + 90034^2 .

It is a super-2 number, since 2×222285914002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22228591403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3265511 + ... + 3272310.

Almost surely, 222228591400 is an apocalyptic number.

22228591400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22228591400 is an abundant number, since it is smaller than the sum of its proper divisors (32492978740).

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

22228591400 is a wasteful number, since it uses less digits than its factorization.

22228591400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6537854 (or 6537845 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The spelling of 22228591400 in words is "twenty-two billion, two hundred twenty-eight million, five hundred ninety-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 6537821 13075642 26151284 32689105 52302568 65378210 111142957 130756420 163445525 222285914 261512840 326891050 444571828 555714785 653782100 889143656 1111429570 1307564200 2222859140 2778573925 4445718280 5557147850 11114295700 22228591400