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212696010 = 233517149311
BaseRepresentation
bin11001010110101…
…11101111001010
3112211020002002000
430223113233022
5413422233020
633034451430
75161612662
oct1453275712
9484202060
10212696010
11aa07472a
125b293b76
13350b1037
14203691a2
1513a16090
hexcad7bca

212696010 has 128 divisors (see below), whose sum is σ = 606528000. Its totient is φ = 52853760.

The previous prime is 212695997. The next prime is 212696021. The reversal of 212696010 is 10696212.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 683755 + ... + 684065.

It is an arithmetic number, because the mean of its divisors is an integer number (4738500).

Almost surely, 2212696010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212696010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303264000).

212696010 is an abundant number, since it is smaller than the sum of its proper divisors (393831990).

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

212696010 is a wasteful number, since it uses less digits than its factorization.

212696010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 212696010 is about 14584.1012750186. The cubic root of 212696010 is about 596.9250177285.

The spelling of 212696010 in words is "two hundred twelve million, six hundred ninety-six thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 149 153 170 255 270 298 306 311 447 459 510 622 745 765 894 918 933 1341 1490 1530 1555 1866 2235 2295 2533 2682 2799 3110 4023 4470 4590 4665 5066 5287 5598 6705 7599 8046 8397 9330 10574 12665 13410 13995 15198 15861 16794 20115 22797 25330 26435 27990 31722 37995 40230 41985 45594 46339 47583 52870 68391 75990 79305 83970 92678 95166 113985 136782 139017 142749 158610 227970 231695 237915 278034 285498 341955 417051 463390 475830 683910 695085 713745 787763 834102 1251153 1390170 1427490 1575526 2085255 2363289 2502306 3938815 4170510 4726578 6255765 7089867 7877630 11816445 12511530 14179734 21269601 23632890 35449335 42539202 70898670 106348005 212696010