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212312304 = 243231199239
BaseRepresentation
bin11001010011110…
…10000011110000
3112210111120201200
430221322003300
5413322443204
633022331200
75155424211
oct1451720360
9483446650
10212312304
11a9932416
125b129b00
1334ca84a9
14202a9408
151398c539
hexca7a0f0

212312304 has 120 divisors (see below), whose sum is σ = 619008000. Its totient is φ = 67858560.

The previous prime is 212312299. The next prime is 212312341. The reversal of 212312304 is 403213212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 888217 + ... + 888455.

It is an arithmetic number, because the mean of its divisors is an integer number (5158400).

Almost surely, 2212312304 is an apocalyptic number.

212312304 is a gapful number since it is divisible by the number (24) 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 212312304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309504000).

212312304 is an abundant number, since it is smaller than the sum of its proper divisors (406695696).

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

212312304 is a wasteful number, since it uses less digits than its factorization.

212312304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 212312304 is about 14570.9403951838. The cubic root of 212312304 is about 596.5658485061.

Adding to 212312304 its reverse (403213212), we get a palindrome (615525516).

It can be divided in two parts, 21 and 2312304, that added together give a triangular number (2312325 = T2150).

The spelling of 212312304 in words is "two hundred twelve million, three hundred twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 199 239 248 279 372 398 478 496 558 597 717 744 796 956 1116 1194 1434 1488 1592 1791 1912 2151 2232 2388 2868 3184 3582 3824 4302 4464 4776 5736 6169 7164 7409 8604 9552 11472 12338 14328 14818 17208 18507 22227 24676 28656 29636 34416 37014 44454 47561 49352 55521 59272 66681 74028 88908 95122 98704 111042 118544 133362 142683 148056 177816 190244 222084 266724 285366 296112 355632 380488 428049 444168 533448 570732 760976 856098 888336 1066896 1141464 1474391 1712196 2282928 2948782 3424392 4423173 5897564 6848784 8846346 11795128 13269519 17692692 23590256 26539038 35385384 53078076 70770768 106156152 212312304