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20002000221 = 337367457631
BaseRepresentation
bin10010101000001101…
…100100110101011101
31220121222021220001000
4102220031210311131
5311431003001341
613104440140513
71305445124310
oct225015446535
956558256030
1020002000221
1185346758a5
123a62767739
131b69c281b8
14d7a686977
157c10138b6
hex4a8364d5d

20002000221 has 64 divisors (see below), whose sum is σ = 34086338560. Its totient is φ = 11355603840.

The previous prime is 20002000217. The next prime is 20002000253. The reversal of 20002000221 is 12200020002.

It is not a de Polignac number, because 20002000221 - 22 = 20002000217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20002000261) 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 63 ways as a sum of consecutive naturals, for example, 31698576 + ... + 31699206.

It is an arithmetic number, because the mean of its divisors is an integer number (532599040).

Almost surely, 220002000221 is an apocalyptic number.

20002000221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20002000221 is a deficient number, since it is larger than the sum of its proper divisors (14084338339).

20002000221 is a wasteful number, since it uses less digits than its factorization.

20002000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20002000221 its reverse (12200020002), we get a palindrome (32202020223).

The spelling of 20002000221 in words is "twenty billion, two million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 7 9 21 27 63 189 367 457 631 1101 1371 1893 2569 3199 3303 4113 4417 5679 7707 9597 9909 12339 13251 17037 23121 28791 39753 69363 86373 119259 167719 231577 288367 503157 694731 865101 1174033 1509471 1621039 2018569 2084193 2595303 3522099 4528413 4863117 6055707 6252579 7785909 10566297 14589351 18167121 31698891 43768053 54501363 105830689 317492067 740814823 952476201 2222444469 2857428603 6667333407 20002000221