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21224441233000 = 2353138115368893
BaseRepresentation
bin1001101001101101100110…
…10001111011111001101000
32210011000222210122220020001
410310312303101323321220
510240220123423424000
6113050212415112344
74320262303541665
oct464666321737150
983130883586201
1021224441233000
116843264835245
1224695325126b4
13bac5c1415195
145353a883aa6c
1526c16a66d46a
hex134db347be68

21224441233000 has 64 divisors (see below), whose sum is σ = 49701158928720. Its totient is φ = 8483628384000.

The previous prime is 21224441232959. The next prime is 21224441233033. The reversal of 21224441233000 is 33214442212.

It can be written as a sum of positive squares in 8 ways, for example, as 3714785954884 + 17509655278116 = 1927378^2 + 4184454^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 21224441233000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6303447 + ... + 9065446.

Almost surely, 221224441233000 is an apocalyptic number.

21224441233000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21224441233000 is an abundant number, since it is smaller than the sum of its proper divisors (28476717695720).

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

21224441233000 is a wasteful number, since it uses less digits than its factorization.

21224441233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15370295 (or 15370281 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 21224441233000 its reverse (33214442212), we get a palindrome (21257655675212).

The spelling of 21224441233000 in words is "twenty-one trillion, two hundred twenty-four billion, four hundred forty-one million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1381 2762 5524 6905 11048 13810 27620 34525 55240 69050 138100 172625 276200 345250 690500 1381000 15368893 30737786 61475572 76844465 122951144 153688930 307377860 384222325 614755720 768444650 1536889300 1921111625 3073778600 3842223250 7684446500 15368893000 21224441233 42448882466 84897764932 106122206165 169795529864 212244412330 424488824660 530611030825 848977649320 1061222061650 2122444123300 2653055154125 4244888246600 5306110308250 10612220616500 21224441233000