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232243011 = 33711132661
BaseRepresentation
bin11011101011110…
…11111101000011
3121012000011112000
431311323331003
5433423234021
635013435043
75520014220
oct1565737503
9535004460
10232243011
1110a105680
126593ba83
1339166200
1422bb6947
15155c7b26
hexdd7bf43

232243011 has 96 divisors (see below), whose sum is σ = 465200640. Its totient is φ = 111196800.

The previous prime is 232243009. The next prime is 232243031. The reversal of 232243011 is 110342232.

232243011 is a `hidden beast` number, since 232 + 2 + 430 + 1 + 1 = 666.

It is not a de Polignac number, because 232243011 - 21 = 232243009 is a prime.

It is a super-2 number, since 2×2322430112 = 107873632316692242, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232243031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 351021 + ... + 351681.

It is an arithmetic number, because the mean of its divisors is an integer number (4845840).

Almost surely, 2232243011 is an apocalyptic number.

232243011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

232243011 is an abundant number, since it is smaller than the sum of its proper divisors (232957629).

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

232243011 is a wasteful number, since it uses less digits than its factorization.

232243011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 232243011 is about 15239.5213507511. The cubic root of 232243011 is about 614.6778324519.

Adding to 232243011 its reverse (110342232), we get a palindrome (342585243).

The spelling of 232243011 in words is "two hundred thirty-two million, two hundred forty-three thousand, eleven".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 77 91 99 117 143 169 189 231 273 297 351 429 507 661 693 819 1001 1183 1287 1521 1859 1983 2079 2457 3003 3549 3861 4563 4627 5577 5949 7271 8593 9009 10647 13013 13881 16731 17847 21813 25779 27027 31941 39039 41643 50193 50897 60151 65439 77337 94523 111709 117117 124929 152691 180453 196317 232011 283569 335127 351351 458073 541359 661661 781963 850707 1005381 1228799 1374219 1624077 1984983 2345889 2552121 3016143 3686397 5954949 7037667 8601593 11059191 17864847 21113001 25804779 33177573 77414337 232243011