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231061212 = 2232172947277
BaseRepresentation
bin11011100010110…
…11011011011100
3121002210010101200
431301123123130
5433122424322
634532235500
75503662564
oct1561333334
9532703350
10231061212
11109478788
126546bb90
1338b41315
1422989da4
15154428ac
hexdc5b6dc

231061212 has 144 divisors (see below), whose sum is σ = 655724160. Its totient is φ = 68253696.

The previous prime is 231061211. The next prime is 231061213. The reversal of 231061212 is 212160132.

It is an interprime number because it is at equal distance from previous prime (231061211) and next prime (231061213).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231061211) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 834018 + ... + 834294.

It is an arithmetic number, because the mean of its divisors is an integer number (4553640).

Almost surely, 2231061212 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 231061212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327862080).

231061212 is an abundant number, since it is smaller than the sum of its proper divisors (424662948).

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

231061212 is a wasteful number, since it uses less digits than its factorization.

231061212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 231061212 is about 15200.6977471431. The cubic root of 231061212 is about 613.6334360234.

The spelling of 231061212 in words is "two hundred thirty-one million, sixty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 29 34 36 47 51 58 68 87 94 102 116 141 153 174 188 204 261 277 282 306 348 423 493 522 554 564 612 799 831 846 986 1044 1108 1363 1479 1598 1662 1692 1972 2397 2493 2726 2958 3196 3324 4089 4437 4709 4794 4986 5452 5916 7191 8033 8178 8874 9418 9588 9972 12267 13019 14127 14382 16066 16356 17748 18836 23171 24099 24534 26038 28254 28764 32132 39057 42381 46342 48198 49068 52076 56508 69513 72297 78114 84762 92684 96396 117171 136561 139026 144594 156228 169524 208539 221323 234342 273122 278052 289188 377551 409683 417078 442646 468684 546244 663969 755102 819366 834156 885292 1132653 1229049 1327938 1510204 1638732 1991907 2265306 2458098 2655876 3397959 3983814 4530612 4916196 6418367 6795918 7967628 12836734 13591836 19255101 25673468 38510202 57765303 77020404 115530606 231061212