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232745688 = 233272371783
BaseRepresentation
bin11011101111101…
…10101011011000
3121012221201001200
431313312223120
5434040330223
635032314200
75524206600
oct1567665330
9535851050
10232745688
1110a41930a
1265b42960
13392b0c56
1422ca7c00
1515676a43
hexddf6ad8

232745688 has 144 divisors (see below), whose sum is σ = 753508080. Its totient is φ = 64665216.

The previous prime is 232745663. The next prime is 232745693. The reversal of 232745688 is 886547232.

232745688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 129645 + ... + 131427.

It is an arithmetic number, because the mean of its divisors is an integer number (5232695).

Almost surely, 2232745688 is an apocalyptic number.

232745688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232745688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376754040).

232745688 is an abundant number, since it is smaller than the sum of its proper divisors (520762392).

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

232745688 is a wasteful number, since it uses less digits than its factorization.

232745688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846 (or 1832 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 232745688 is about 15256.0049816458. The cubic root of 232745688 is about 615.1209914640.

The spelling of 232745688 in words is "two hundred thirty-two million, seven hundred forty-five thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 37 42 49 56 63 72 74 84 98 111 126 147 148 168 196 222 252 259 294 296 333 392 441 444 504 518 588 666 777 882 888 1036 1176 1332 1554 1764 1783 1813 2072 2331 2664 3108 3528 3566 3626 4662 5349 5439 6216 7132 7252 9324 10698 10878 12481 14264 14504 16047 16317 18648 21396 21756 24962 32094 32634 37443 42792 43512 49924 64188 65268 65971 74886 87367 99848 112329 128376 130536 131942 149772 174734 197913 224658 262101 263884 299544 349468 395826 449316 461797 524202 527768 593739 698936 786303 791652 898632 923594 1048404 1187478 1385391 1572606 1583304 1847188 2096808 2374956 2770782 3145212 3232579 3694376 4156173 4749912 5541564 6290424 6465158 8312346 9697737 11083128 12930316 16624692 19395474 25860632 29093211 33249384 38790948 58186422 77581896 116372844 232745688