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212123352 = 23372612957
BaseRepresentation
bin11001010010010…
…11111011011000
3112210010222112110
430221023323120
5413300421402
633014312320
75154006300
oct1451137330
9483128473
10212123352
11a9813461
125b0586a0
1334c4049c
142025a600
151395156c
hexca4bed8

212123352 has 96 divisors (see below), whose sum is σ = 627214320. Its totient is φ = 59592960.

The previous prime is 212123347. The next prime is 212123357. The reversal of 212123352 is 253321212.

It is an interprime number because it is at equal distance from previous prime (212123347) and next prime (212123357).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212123357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70258 + ... + 73214.

Almost surely, 2212123352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212123352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313607160).

212123352 is an abundant number, since it is smaller than the sum of its proper divisors (415090968).

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

212123352 is a wasteful number, since it uses less digits than its factorization.

212123352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3041 (or 3030 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 212123352 is about 14564.4550876440. The cubic root of 212123352 is about 596.3888203507.

Adding to 212123352 its reverse (253321212), we get a palindrome (465444564).

The spelling of 212123352 in words is "two hundred twelve million, one hundred twenty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 61 84 98 122 147 168 183 196 244 294 366 392 427 488 588 732 854 1176 1281 1464 1708 2562 2957 2989 3416 5124 5914 5978 8871 8967 10248 11828 11956 17742 17934 20699 23656 23912 35484 35868 41398 62097 70968 71736 82796 124194 144893 165592 180377 248388 289786 360754 434679 496776 541131 579572 721508 869358 1082262 1159144 1262639 1443016 1738716 2164524 2525278 3477432 3787917 4329048 5050556 7575834 8838473 10101112 15151668 17676946 26515419 30303336 35353892 53030838 70707784 106061676 212123352