Search a number
-
+
20217200535 = 335731368351
BaseRepresentation
bin10010110101000010…
…011111111110010111
31221011222020012101000
4102311002133332113
5312401100404120
613142044434343
71314000240420
oct226502377627
957158205330
1020217200535
11863509aaa4
123b028489b3
131ba26a506c
14d9b0a4647
157d4d71990
hex4b509ff97

20217200535 has 64 divisors (see below), whose sum is σ = 41208053760. Its totient is φ = 9212486400.

The previous prime is 20217200453. The next prime is 20217200539. The reversal of 20217200535 is 53500271202.

It is not a de Polignac number, because 20217200535 - 29 = 20217200023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20217200499 and 20217200508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20217200539) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 261610 + ... + 329960.

It is an arithmetic number, because the mean of its divisors is an integer number (643875840).

Almost surely, 220217200535 is an apocalyptic number.

20217200535 is an abundant number, since it is smaller than the sum of its proper divisors (20990853225).

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

20217200535 is a wasteful number, since it uses less digits than its factorization.

20217200535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68685 (or 68679 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

Adding to 20217200535 its reverse (53500271202), we get a palindrome (73717471737).

The spelling of 20217200535 in words is "twenty billion, two hundred seventeen million, two hundred thousand, five hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 313 315 939 945 1565 2191 2817 4695 6573 8451 10955 14085 19719 32865 42255 59157 68351 98595 205053 295785 341755 478457 615159 1025265 1435371 1845477 2392285 3075795 4306113 7176855 9227385 12918339 21393863 21530565 64181589 64591695 106969315 149757041 192544767 320907945 449271123 577634301 748785205 962723835 1347813369 2246355615 2888171505 4043440107 6739066845 20217200535