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20440442002220 = 2257918427702067
BaseRepresentation
bin1001010010111001010010…
…10010001101101100101100
32200101002100112210110012122
410221130221102031230230
510134344011123032340
6111250113122452112
74206526131202622
oct451345122155454
980332315713178
1020440442002220
1165708196a1269
1223615b2804038
13b536aa430bb6
145094735a7512
15256a81e74db5
hex12972948db2c

20440442002220 has 48 divisors (see below), whose sum is σ = 43470702589440. Its totient is φ = 8072231304384.

The previous prime is 20440442002177. The next prime is 20440442002223. The reversal of 20440442002220 is 2220024404402.

It is a super-2 number, since 2×204404420022202 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20440442002220.

It is not an unprimeable number, because it can be changed into a prime (20440442002223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28763627 + ... + 29465693.

It is an arithmetic number, because the mean of its divisors is an integer number (905639637280).

Almost surely, 220440442002220 is an apocalyptic number.

20440442002220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20440442002220 is an abundant number, since it is smaller than the sum of its proper divisors (23030260587220).

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

20440442002220 is a wasteful number, since it uses less digits than its factorization.

20440442002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720582 (or 720580 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 20440442002220 its reverse (2220024404402), we get a palindrome (22660466406622).

The spelling of 20440442002220 in words is "twenty trillion, four hundred forty billion, four hundred forty-two million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 79 158 316 395 790 1580 18427 36854 73708 92135 184270 368540 702067 1404134 1455733 2808268 2911466 3510335 5822932 7020670 7278665 14041340 14557330 29114660 55463293 110926586 221853172 277316465 554632930 1109265860 12936988609 25873977218 51747954436 64684943045 129369886090 258739772180 1022022100111 2044044200222 4088088400444 5110110500555 10220221001110 20440442002220