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232069040 = 245717191283
BaseRepresentation
bin11011101010100…
…01011110110000
3121011200022212122
431311101132300
5433402202130
635010013412
75515361060
oct1565213660
9534608778
10232069040
11109aa69a5
1265877268
1339104c78
1422b6d3a0
15155912e5
hexdd517b0

232069040 has 160 divisors (see below), whose sum is σ = 687813120. Its totient is φ = 70889472.

The previous prime is 232069003. The next prime is 232069081. The reversal of 232069040 is 40960232.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180239 + ... + 181521.

It is an arithmetic number, because the mean of its divisors is an integer number (4298832).

Almost surely, 2232069040 is an apocalyptic number.

232069040 is a gapful number since it is divisible by the number (20) 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 232069040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343906560).

232069040 is an abundant number, since it is smaller than the sum of its proper divisors (455744080).

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

232069040 is a wasteful number, since it uses less digits than its factorization.

232069040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 232069040 is about 15233.8123921755. The cubic root of 232069040 is about 614.5243110327.

The spelling of 232069040 in words is "two hundred thirty-two million, sixty-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 19 20 28 34 35 38 40 56 68 70 76 80 85 95 112 119 133 136 140 152 170 190 238 266 272 280 304 323 340 380 476 532 560 595 646 665 680 760 952 1064 1190 1283 1292 1330 1360 1520 1615 1904 2128 2261 2380 2566 2584 2660 3230 4522 4760 5132 5168 5320 6415 6460 8981 9044 9520 10264 10640 11305 12830 12920 17962 18088 20528 21811 22610 24377 25660 25840 35924 36176 43622 44905 45220 48754 51320 71848 87244 89810 90440 97508 102640 109055 121885 143696 152677 170639 174488 179620 180880 195016 218110 243770 305354 341278 348976 359240 390032 414409 436220 487540 610708 682556 718480 763385 828818 853195 872440 975080 1221416 1365112 1526770 1657636 1706390 1744880 1950160 2072045 2442832 2730224 2900863 3053540 3315272 3412780 4144090 5801726 6107080 6630544 6825560 8288180 11603452 12214160 13651120 14504315 16576360 23206904 29008630 33152720 46413808 58017260 116034520 232069040