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23217012 = 223271319373
BaseRepresentation
bin101100010010…
…0001101110100
31121200112202100
41120210031310
521420421022
62145342100
7401225040
oct130441564
947615670
1023217012
1112118315
127937930
134a6b7a0
143125020
1520891ac
hex1624374

23217012 has 144 divisors (see below), whose sum is σ = 76236160. Its totient is φ = 5785344.

The previous prime is 23217011. The next prime is 23217043. The reversal of 23217012 is 21071232.

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 (23217011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62058 + ... + 62430.

Almost surely, 223217012 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 23217012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38118080).

23217012 is an abundant number, since it is smaller than the sum of its proper divisors (53019148).

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

23217012 is a wasteful number, since it uses less digits than its factorization.

23217012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 23217012 is about 4818.4034700303. The cubic root of 23217012 is about 285.2783245972.

Adding to 23217012 its reverse (21071232), we get a palindrome (44288244).

The spelling of 23217012 in words is "twenty-three million, two hundred seventeen thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 19 21 26 28 36 38 39 42 52 57 63 76 78 84 91 114 117 126 133 156 171 182 228 234 247 252 266 273 342 364 373 399 468 494 532 546 684 741 746 798 819 988 1092 1119 1197 1482 1492 1596 1638 1729 2223 2238 2394 2611 2964 3276 3357 3458 4446 4476 4788 4849 5187 5222 6714 6916 7087 7833 8892 9698 10374 10444 13428 14174 14547 15561 15666 19396 20748 21261 23499 28348 29094 31122 31332 33943 42522 43641 46998 49609 58188 62244 63783 67886 85044 87282 92131 93996 99218 101829 127566 135772 148827 174564 184262 198436 203658 255132 276393 297654 305487 368524 407316 446481 552786 595308 610974 644917 829179 892962 1105572 1221948 1289834 1658358 1785924 1934751 2579668 3316716 3869502 5804253 7739004 11608506 23217012