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20002212222210 = 23253726712248847
BaseRepresentation
bin1001000110001001000001…
…10000010001010100000010
32121211012012120011001000200
410203010200300101110002
510110204012312102320
6110312520041430030
74133053315424211
oct443044060212402
977735176131020
1020002212222210
116411988385359
1222b069049b316
13b2127b70456a
144d217dd9b078
1524a4841b9290
hex123120c11502

20002212222210 has 96 divisors (see below), whose sum is σ = 53431333143552. Its totient is φ = 5187817860480.

The previous prime is 20002212222203. The next prime is 20002212222211. The reversal of 20002212222210 is 1222221220002.

20002212222210 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 221 + 222 + 221 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20002212222211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7770007 + ... + 10018853.

It is an arithmetic number, because the mean of its divisors is an integer number (556576386912).

Almost surely, 220002212222210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20002212222210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26715666571776).

20002212222210 is an abundant number, since it is smaller than the sum of its proper divisors (33429120921342).

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

20002212222210 is a wasteful number, since it uses less digits than its factorization.

20002212222210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251568 (or 2251565 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20002212222210 its reverse (1222221220002), we get a palindrome (21224433442212).

It can be divided in two parts, 20002 and 212222210, that added together give a palindrome (212242212).

The spelling of 20002212222210 in words is "twenty trillion, two billion, two hundred twelve million, two hundred twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 2671 3330 5342 8013 13355 16026 24039 26710 40065 48078 80130 98827 120195 197654 240390 296481 494135 592962 889443 988270 1482405 1778886 2248847 2964810 4447215 4497694 6746541 8894430 11244235 13493082 20239623 22488470 33732705 40479246 67465410 83207339 101198115 166414678 202396230 249622017 416036695 499244034 748866051 832073390 1248110085 1497732102 2496220170 3744330255 6006670337 7488660510 12013340674 18020011011 30033351685 36040022022 54060033033 60066703370 90100055055 108120066066 180200110110 222246802469 270300165165 444493604938 540600330330 666740407407 1111234012345 1333480814814 2000221222221 2222468024690 3333702037035 4000442444442 6667404074070 10001106111105 20002212222210