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20042404220 = 22519149479739
BaseRepresentation
bin10010101010100111…
…101101000101111100
31220201210022121220102
4102222213231011330
5312021323413340
613112442140232
71306445424236
oct225247550574
956653277812
1020042404220
118555461a33
123a741b1678
131b754038a7
14d81ba3256
157c4845215
hex4aa9ed17c

20042404220 has 96 divisors (see below), whose sum is σ = 44755200000. Its totient is φ = 7518106368.

The previous prime is 20042404219. The next prime is 20042404273. The reversal of 20042404220 is 2240424002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20042404192 and 20042404201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27120611 + ... + 27121349.

It is an arithmetic number, because the mean of its divisors is an integer number (466200000).

Almost surely, 220042404220 is an apocalyptic number.

20042404220 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 20042404220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22377600000).

20042404220 is an abundant number, since it is smaller than the sum of its proper divisors (24712795780).

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

20042404220 is a wasteful number, since it uses less digits than its factorization.

20042404220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 20042404220 its reverse (2240424002), we get a palindrome (22282828222).

The spelling of 20042404220 in words is "twenty billion, forty-two million, four hundred four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 149 190 298 380 479 596 739 745 958 1478 1490 1916 2395 2831 2956 2980 3695 4790 5662 7390 9101 9580 11324 14041 14155 14780 18202 28082 28310 36404 45505 56164 56620 70205 71371 91010 110111 140410 142742 182020 220222 280820 285484 353981 356855 440444 550555 707962 713710 1101110 1356049 1415924 1427420 1769905 2092109 2202220 2712098 3539810 4184218 5424196 6725639 6780245 7079620 8368436 10460545 13451278 13560490 20921090 26902556 27120980 33628195 41842180 52743169 67256390 105486338 134512780 210972676 263715845 527431690 1002120211 1054863380 2004240422 4008480844 5010601055 10021202110 20042404220