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212312310 = 235723113389
BaseRepresentation
bin11001010011110…
…10000011110110
3112210111120201220
430221322003312
5413322443220
633022331210
75155424220
oct1451720366
9483446656
10212312310
11a9932421
125b129b06
1334ca84b2
14202a9410
151398c540
hexca7a0f6

212312310 has 128 divisors (see below), whose sum is σ = 614615040. Its totient is φ = 45889536.

The previous prime is 212312299. The next prime is 212312341. The reversal of 212312310 is 13213212.

It is a super-2 number, since 2×2123123102 = 90153033955072200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212312310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 545596 + ... + 545984.

It is an arithmetic number, because the mean of its divisors is an integer number (4801680).

Almost surely, 2212312310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212312310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307307520).

212312310 is an abundant number, since it is smaller than the sum of its proper divisors (402302730).

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

212312310 is a wasteful number, since it uses less digits than its factorization.

212312310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 212312310 is about 14570.9406010731. The cubic root of 212312310 is about 596.5658541259.

Adding to 212312310 its reverse (13213212), we get a palindrome (225525522).

The spelling of 212312310 in words is "two hundred twelve million, three hundred twelve thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 105 113 115 138 161 210 226 230 322 339 345 389 483 565 678 690 778 791 805 966 1130 1167 1582 1610 1695 1945 2334 2373 2415 2599 2723 3390 3890 3955 4746 4830 5198 5446 5835 7797 7910 8169 8947 11670 11865 12995 13615 15594 16338 17894 18193 23730 25990 26841 27230 36386 38985 40845 43957 44735 53682 54579 62629 77970 81690 87914 89470 90965 109158 125258 131871 134205 181930 187887 219785 263742 268410 272895 307699 313145 375774 439570 545790 615398 626290 659355 923097 939435 1011011 1318710 1538495 1846194 1878870 2022022 3033033 3076990 4615485 5055055 6066066 7077077 9230970 10110110 14154154 15165165 21231231 30330330 35385385 42462462 70770770 106156155 212312310