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20332222000 = 245367151733
BaseRepresentation
bin10010111011111001…
…010001011000110000
31221110222122220011021
4102323321101120300
5313120022101000
613201314025224
71316565015106
oct227371213060
957428586137
1020332222000
118694011362
123b35278214
131bc0477bbc
14dac485c76
157deee211a
hex4bbe51630

20332222000 has 80 divisors (see below), whose sum is σ = 49897422432. Its totient is φ = 8011449600.

The previous prime is 20332221991. The next prime is 20332222013. The reversal of 20332222000 is 22223302.

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 (16).

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 15 ways as a sum of consecutive naturals, for example, 58134 + ... + 209866.

Almost surely, 220332222000 is an apocalyptic number.

20332222000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20332222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24948711216).

20332222000 is an abundant number, since it is smaller than the sum of its proper divisors (29565200432).

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

20332222000 is a wasteful number, since it uses less digits than its factorization.

20332222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151823 (or 151807 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 20332222000 its reverse (22223302), we get a palindrome (20354445302).

The spelling of 20332222000 in words is "twenty billion, three hundred thirty-two million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 67 80 100 125 134 200 250 268 335 400 500 536 670 1000 1072 1340 1675 2000 2680 3350 5360 6700 8375 13400 16750 26800 33500 67000 134000 151733 303466 606932 758665 1213864 1517330 2427728 3034660 3793325 6069320 7586650 10166111 12138640 15173300 18966625 20332222 30346600 37933250 40664444 50830555 60693200 75866500 81328888 101661110 151733000 162657776 203322220 254152775 303466000 406644440 508305550 813288880 1016611100 1270763875 2033222200 2541527750 4066444400 5083055500 10166111000 20332222000