Search a number
-
+
212035520 = 2651096079
BaseRepresentation
bin11001010001101…
…10011111000000
3112202222112001102
430220312133000
5413240114040
633012353532
75153162234
oct1450663700
9482875042
10212035520
11a9763474
125b0158a8
1334c0c508
14202365c4
1513935515
hexca367c0

212035520 has 56 divisors (see below), whose sum is σ = 509625600. Its totient is φ = 84022272.

The previous prime is 212035519. The next prime is 212035529. The reversal of 212035520 is 25530212.

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 = 212035492 and 212035501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212035529) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 31841 + ... + 37919.

Almost surely, 2212035520 is an apocalyptic number.

212035520 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 212035520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254812800).

212035520 is an abundant number, since it is smaller than the sum of its proper divisors (297590080).

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

212035520 is a wasteful number, since it uses less digits than its factorization.

212035520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6205 (or 6195 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 212035520 is about 14561.4394892813. The cubic root of 212035520 is about 596.3064952102.

Adding to 212035520 its reverse (25530212), we get a palindrome (237565732).

The spelling of 212035520 in words is "two hundred twelve million, thirty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 109 160 218 320 436 545 872 1090 1744 2180 3488 4360 6079 6976 8720 12158 17440 24316 30395 34880 48632 60790 97264 121580 194528 243160 389056 486320 662611 972640 1325222 1945280 2650444 3313055 5300888 6626110 10601776 13252220 21203552 26504440 42407104 53008880 106017760 212035520