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22604420000 = 255410910369
BaseRepresentation
bin10101000011010101…
…000001001110100000
32011100100012111211202
4111003111001032200
5332243212420000
614215003100332
71430105254061
oct250325011640
964310174752
1022604420000
11964a673348
12446a2116a8
132193137666
141146158568
158c4720dd5
hex5435413a0

22604420000 has 120 divisors (see below), whose sum is σ = 56125862100. Its totient is φ = 8957952000.

The previous prime is 22604419991. The next prime is 22604420051. The reversal of 22604420000 is 2440622.

It can be written as a sum of positive squares in 10 ways, for example, as 4399934224 + 18204485776 = 66332^2 + 134924^2 .

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 2174816 + ... + 2185184.

Almost surely, 222604420000 is an apocalyptic number.

22604420000 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 22604420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28062931050).

22604420000 is an abundant number, since it is smaller than the sum of its proper divisors (33521442100).

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

22604420000 is a wasteful number, since it uses less digits than its factorization.

22604420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10508 (or 10485 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22604420000 its reverse (2440622), we get a palindrome (22606860622).

The spelling of 22604420000 in words is "twenty-two billion, six hundred four million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 109 125 160 200 218 250 400 436 500 545 625 800 872 1000 1090 1250 1744 2000 2180 2500 2725 3488 4000 4360 5000 5450 8720 10000 10369 10900 13625 17440 20000 20738 21800 27250 41476 43600 51845 54500 68125 82952 87200 103690 109000 136250 165904 207380 218000 259225 272500 331808 414760 436000 518450 545000 829520 1036900 1090000 1130221 1296125 1659040 2073800 2180000 2260442 2592250 4147600 4520884 5184500 5651105 6480625 8295200 9041768 10369000 11302210 12961250 18083536 20738000 22604420 25922500 28255525 36167072 41476000 45208840 51845000 56511050 90417680 103690000 113022100 141277625 180835360 207380000 226044200 282555250 452088400 565110500 706388125 904176800 1130221000 1412776250 2260442000 2825552500 4520884000 5651105000 11302210000 22604420000