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22145152433300 = 22521317034732641
BaseRepresentation
bin1010000100100000100011…
…11100011011110010010100
32220102001111202012222002222
411002100101330123302110
510400311233010331200
6115033201555321512
74443635343606461
oct502202174336224
986361452188088
1022145152433300
1170687852533a6
122597a668b0298
13c48381a0a2a0
14567b8c75a668
152860a609bd85
hex142411f1bc94

22145152433300 has 36 divisors (see below), whose sum is σ = 51751517766396. Its totient is φ = 8176671667200.

The previous prime is 22145152433213. The next prime is 22145152433351. The reversal of 22145152433300 is 333425154122.

It can be written as a sum of positive squares in 6 ways, for example, as 7418454531856 + 14726697901444 = 2723684^2 + 3837538^2 .

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 8517365021 + ... + 8517367620.

Almost surely, 222145152433300 is an apocalyptic number.

22145152433300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22145152433300 is an abundant number, since it is smaller than the sum of its proper divisors (29606365333096).

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

22145152433300 is a wasteful number, since it uses less digits than its factorization.

22145152433300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17034732668 (or 17034732661 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 22145152433300 its reverse (333425154122), we get a palindrome (22478577587422).

The spelling of 22145152433300 in words is "twenty-two trillion, one hundred forty-five billion, one hundred fifty-two million, four hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 17034732641 34069465282 68138930564 85173663205 170347326410 221451524333 340694652820 425868316025 442903048666 851736632050 885806097332 1107257621665 1703473264100 2214515243330 4429030486660 5536288108325 11072576216650 22145152433300