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21234422000 = 245311965201
BaseRepresentation
bin10011110001101010…
…111001000011110000
32000210212022101220002
4103301222321003300
5321442003001000
613431023205132
71351131415601
oct236152710360
960725271802
1021234422000
1190073065a0
1241474467a8
132005361a5c
141056215da8
158443058d5
hex4f1ab90f0

21234422000 has 80 divisors (see below), whose sum is σ = 56012602464. Its totient is φ = 7721600000.

The previous prime is 21234421993. The next prime is 21234422003. The reversal of 21234422000 is 22443212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21234422003) 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 15 ways as a sum of consecutive naturals, for example, 460601 + ... + 504600.

Almost surely, 221234422000 is an apocalyptic number.

21234422000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21234422000 is an abundant number, since it is smaller than the sum of its proper divisors (34778180464).

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

21234422000 is a wasteful number, since it uses less digits than its factorization.

21234422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965235 (or 965219 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 21234422000 its reverse (22443212), we get a palindrome (21256865212).

The spelling of 21234422000 in words is "twenty-one billion, two hundred thirty-four million, four hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 965201 1930402 3860804 4826005 7721608 9652010 10617211 15443216 19304020 21234422 24130025 38608040 42468844 48260050 53086055 77216080 84937688 96520100 106172110 120650125 169875376 193040200 212344220 241300250 265430275 386080400 424688440 482600500 530860550 849376880 965201000 1061721100 1327151375 1930402000 2123442200 2654302750 4246884400 5308605500 10617211000 21234422000