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212032380 = 223572931723
BaseRepresentation
bin11001010001101…
…01101101111100
3112202222100202010
430220311231330
5413240014010
633012331220
75153150130
oct1450655574
9482870663
10212032380
11a976107a
125b013b10
1334c0ac61
14202353c0
1513934620
hexca35b7c

212032380 has 96 divisors (see below), whose sum is σ = 681214464. Its totient is φ = 48271104.

The previous prime is 212032357. The next prime is 212032393. The reversal of 212032380 is 83230212.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 122199 + ... + 123921.

It is an arithmetic number, because the mean of its divisors is an integer number (7095984).

Almost surely, 2212032380 is an apocalyptic number.

212032380 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 212032380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340607232).

212032380 is an abundant number, since it is smaller than the sum of its proper divisors (469182084).

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

212032380 is a wasteful number, since it uses less digits than its factorization.

212032380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 212032380 is about 14561.3316698714. The cubic root of 212032380 is about 596.3035516599.

Adding to 212032380 its reverse (83230212), we get a palindrome (295262592).

The spelling of 212032380 in words is "two hundred twelve million, thirty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 293 420 586 879 1172 1465 1723 1758 2051 2930 3446 3516 4102 4395 5169 5860 6153 6892 8204 8615 8790 10255 10338 12061 12306 17230 17580 20510 20676 24122 24612 25845 30765 34460 36183 41020 48244 51690 60305 61530 72366 103380 120610 123060 144732 180915 241220 361830 504839 723660 1009678 1514517 2019356 2524195 3029034 3533873 5048390 6058068 7067746 7572585 10096780 10601619 14135492 15145170 17669365 21203238 30290340 35338730 42406476 53008095 70677460 106016190 212032380