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20220404000 = 255323219787
BaseRepresentation
bin10010110101001110…
…101110000100100000
31221012012020221200212
4102311032232010200
5312402410412000
613142241233252
71314036412106
oct226516560440
957165227625
1020220404000
118636988895
123b03932828
131ba32571c4
14d9b699c76
157d52a5c35
hex4b53ae120

20220404000 has 96 divisors (see below), whose sum is σ = 51841835136. Its totient is φ = 7736467200.

The previous prime is 20220403969. The next prime is 20220404003. The reversal of 20220404000 is 40402202.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20220404003) 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, 17894 + ... + 201893.

It is an arithmetic number, because the mean of its divisors is an integer number (540019116).

Almost surely, 220220404000 is an apocalyptic number.

20220404000 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 20220404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25920917568).

20220404000 is an abundant number, since it is smaller than the sum of its proper divisors (31621431136).

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

20220404000 is a wasteful number, since it uses less digits than its factorization.

20220404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219835 (or 219817 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 20220404000 its reverse (40402202), we get a palindrome (20260806202).

The spelling of 20220404000 in words is "twenty billion, two hundred twenty million, four hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 125 160 184 200 230 250 368 400 460 500 575 736 800 920 1000 1150 1840 2000 2300 2875 3680 4000 4600 5750 9200 11500 18400 23000 46000 92000 219787 439574 879148 1098935 1758296 2197870 3516592 4395740 5055101 5494675 7033184 8791480 10110202 10989350 17582960 20220404 21978700 25275505 27473375 35165920 40440808 43957400 50551010 54946750 80881616 87914800 101102020 109893500 126377525 161763232 175829600 202204040 219787000 252755050 404408080 439574000 505510100 631887625 808816160 879148000 1011020200 1263775250 2022040400 2527550500 4044080800 5055101000 10110202000 20220404000