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311212230 = 235721271667
BaseRepresentation
bin10010100011001…
…011100011000110
3210200121012220220
4102203023203012
51114132242410
650514205210
710466155200
oct2243134306
9720535826
10311212230
1114a74239a
1288283806
134c625364
142d491770
151c4c6070
hex128cb8c6

311212230 has 96 divisors (see below), whose sum is σ = 876220416. Its totient is φ = 70531776.

The previous prime is 311212219. The next prime is 311212249. The reversal of 311212230 is 32212113.

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

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 47 ways as a sum of consecutive naturals, for example, 185857 + ... + 187523.

It is an arithmetic number, because the mean of its divisors is an integer number (9127296).

Almost surely, 2311212230 is an apocalyptic number.

311212230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 311212230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438110208).

311212230 is an abundant number, since it is smaller than the sum of its proper divisors (565008186).

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

311212230 is a wasteful number, since it uses less digits than its factorization.

311212230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1811 counting only the distinct ones).

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

The square root of 311212230 is about 17641.2082919510. The cubic root of 311212230 is about 677.6709753079.

Adding to 311212230 its reverse (32212113), we get a palindrome (343424343).

The spelling of 311212230 in words is "three hundred eleven million, two hundred twelve thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 127 147 210 245 254 294 381 490 635 735 762 889 1270 1470 1667 1778 1905 2667 3334 3810 4445 5001 5334 6223 8335 8890 10002 11669 12446 13335 16670 18669 23338 25005 26670 31115 35007 37338 50010 58345 62230 70014 81683 93345 116690 163366 175035 186690 211709 245049 350070 408415 423418 490098 635127 816830 1058545 1225245 1270254 1481963 2117090 2450490 2963926 3175635 4445889 6351270 7409815 8891778 10373741 14819630 20747482 22229445 31121223 44458890 51868705 62242446 103737410 155606115 311212230