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232000230 = 235711671499
BaseRepresentation
bin11011101010000…
…00101011100110
3121011112211111010
431311000223212
5433343001410
635004323050
75514653340
oct1565005346
9534484433
10232000230
11109a5a230
1265843486
13390ac857
1422b52290
151557ac20
hexdd40ae6

232000230 has 128 divisors (see below), whose sum is σ = 705024000. Its totient is φ = 47456640.

The previous prime is 232000211. The next prime is 232000231. The reversal of 232000230 is 32000232.

232000230 = T2877 + T2878 + ... + T2931.

232000230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232000231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154021 + ... + 155519.

It is an arithmetic number, because the mean of its divisors is an integer number (5508000).

Almost surely, 2232000230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232000230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352512000).

232000230 is an abundant number, since it is smaller than the sum of its proper divisors (473023770).

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

232000230 is a wasteful number, since it uses less digits than its factorization.

232000230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594.

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 232000230 is about 15231.5537618458. The cubic root of 232000230 is about 614.4635681925.

Adding to 232000230 its reverse (32000232), we get a palindrome (264000462).

The spelling of 232000230 in words is "two hundred thirty-two million, two hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 67 70 77 105 110 134 154 165 201 210 231 330 335 385 402 462 469 670 737 770 938 1005 1155 1407 1474 1499 2010 2211 2310 2345 2814 2998 3685 4422 4497 4690 5159 7035 7370 7495 8994 10318 10493 11055 14070 14990 15477 16489 20986 22110 22485 25795 30954 31479 32978 44970 49467 51590 52465 62958 77385 82445 98934 100433 104930 115423 154770 157395 164890 200866 230846 247335 301299 314790 346269 494670 502165 577115 602598 692538 703031 1004330 1104763 1154230 1406062 1506495 1731345 2109093 2209526 3012990 3314289 3462690 3515155 4218186 5523815 6628578 7030310 7733341 10545465 11047630 15466682 16571445 21090930 23200023 33142890 38666705 46400046 77333410 116000115 232000230