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20224442420 = 22571322748953
BaseRepresentation
bin10010110101011110…
…001000000000110100
31221012110212010100222
4102311132020000310
5312404424124140
613142503553512
71314115631660
oct226536100064
957173763328
1020224442420
118639196a26
123b0515b898
131ba403c3c0
14d9c02b8a0
157d58025b5
hex4b5788034

20224442420 has 96 divisors (see below), whose sum is σ = 52503752448. Its totient is φ = 6372375552.

The previous prime is 20224442419. The next prime is 20224442473. The reversal of 20224442420 is 2424442202.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 20224442420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388664 + ... + 437616.

It is an arithmetic number, because the mean of its divisors is an integer number (546914088).

Almost surely, 220224442420 is an apocalyptic number.

20224442420 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 20224442420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26251876224).

20224442420 is an abundant number, since it is smaller than the sum of its proper divisors (32279310028).

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

20224442420 is a wasteful number, since it uses less digits than its factorization.

20224442420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49209 (or 49207 counting only the distinct ones).

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

Adding to 20224442420 its reverse (2424442202), we get a palindrome (22648884622).

The spelling of 20224442420 in words is "twenty billion, two hundred twenty-four million, four hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 227 260 364 454 455 908 910 1135 1589 1820 2270 2951 3178 4540 5902 6356 7945 11804 14755 15890 20657 29510 31780 41314 48953 59020 82628 97906 103285 195812 206570 244765 342671 413140 489530 636389 685342 979060 1272778 1370684 1713355 2545556 3181945 3426710 4454723 6363890 6853420 8909446 11112331 12727780 17818892 22224662 22273615 44449324 44547230 55561655 77786317 89094460 111123310 144460303 155572634 222246620 288920606 311145268 388931585 577841212 722301515 777863170 1011222121 1444603030 1555726340 2022444242 2889206060 4044888484 5056110605 10112221210 20224442420