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20442244420 = 22513298113343
BaseRepresentation
bin10011000010011100…
…111110010101000100
31221202122200121112201
4103002130332111010
5313331203310140
613220244124244
71322402132143
oct230234762504
957678617481
1020442244420
118740128884
123b66096684
131c0a1ba520
14dbcd2575a
157e99c649a
hex4c273e544

20442244420 has 96 divisors (see below), whose sum is σ = 47898385920. Its totient is φ = 7276469760.

The previous prime is 20442244411. The next prime is 20442244429. The reversal of 20442244420 is 2444224402.

It is an interprime number because it is at equal distance from previous prime (20442244411) and next prime (20442244429).

It is a super-2 number, since 2×204422444202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20442244429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6113269 + ... + 6116611.

It is an arithmetic number, because the mean of its divisors is an integer number (498941520).

Almost surely, 220442244420 is an apocalyptic number.

20442244420 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 20442244420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23949192960).

20442244420 is an abundant number, since it is smaller than the sum of its proper divisors (27456141500).

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

20442244420 is a wasteful number, since it uses less digits than its factorization.

20442244420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4205 (or 4203 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 20442244420 its reverse (2444224402), we get a palindrome (22886468822).

It can be divided in two parts, 204422 and 44420, that added together give a palindrome (248842).

The spelling of 20442244420 in words is "twenty billion, four hundred forty-two million, two hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 811 1508 1622 1885 3244 3343 3770 4055 6686 7540 8110 10543 13372 16220 16715 21086 23519 33430 42172 43459 47038 52715 66860 86918 94076 96947 105430 117595 173836 193894 210860 217295 235190 305747 387788 434590 470380 484735 611494 869180 969470 1222988 1260311 1528735 1938940 2520622 2711173 3057470 5041244 5422346 6114940 6301555 10844692 12603110 13555865 25206220 27111730 35245249 54223460 70490498 78624017 140980996 157248034 176226245 314496068 352452490 393120085 704904980 786240170 1022112221 1572480340 2044224442 4088448884 5110561105 10221122210 20442244420