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32230230200 = 2352723599161
BaseRepresentation
bin11110000001000100…
…100100100010111000
310002012011212100001122
4132001010210202320
51012001414331300
622450101404412
72220460302500
oct360104444270
9102164770048
1032230230200
111273a140a93
1262b5a09708
13306844c43c
1417ba714a00
15c89817c85
hex7811248b8

32230230200 has 144 divisors (see below), whose sum is σ = 87421971600. Its totient is φ = 11018380800.

The previous prime is 32230230199. The next prime is 32230230217. The reversal of 32230230200 is 203203223.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3513620 + ... + 3522780.

It is an arithmetic number, because the mean of its divisors is an integer number (607097025).

Almost surely, 232230230200 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 32230230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43710985800).

32230230200 is an abundant number, since it is smaller than the sum of its proper divisors (55191741400).

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

32230230200 is a wasteful number, since it uses less digits than its factorization.

32230230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9550 (or 9534 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

Adding to 32230230200 its reverse (203203223), we get a palindrome (32433433423).

The spelling of 32230230200 in words is "thirty-two billion, two hundred thirty million, two hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 359 392 490 700 718 980 1225 1400 1436 1795 1960 2450 2513 2872 3590 4900 5026 7180 8975 9161 9800 10052 12565 14360 17591 17950 18322 20104 25130 35182 35900 36644 45805 50260 62825 64127 70364 71800 73288 87955 91610 100520 125650 128254 140728 175910 183220 229025 251300 256508 320635 351820 366440 439775 448889 458050 502600 513016 641270 703640 879550 897778 916100 1282540 1603175 1759100 1795556 1832200 2244445 2565080 3206350 3288799 3518200 3591112 4488890 6412700 6577598 8977780 11222225 12825400 13155196 16443995 17955560 22444450 23021593 26310392 32887990 44888900 46043186 65775980 82219975 89777800 92086372 115107965 131551960 161151151 164439950 184172744 230215930 322302302 328879900 460431860 575539825 644604604 657759800 805755755 920863720 1151079650 1289209208 1611511510 2302159300 3223023020 4028778775 4604318600 6446046040 8057557550 16115115100 32230230200