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230200002032 = 247111314373127
BaseRepresentation
bin1101011001100011111…
…1010100010111110000
3211000012000220202002012
43112120333110113300
512232422200031112
6253430304542052
722426366506110
oct3263077242760
9730160822065
10230200002032
1189699999770
1238745621928
1318927c6c470
14b1dad0d040
155ec4908022
hex3598fd45f0

230200002032 has 80 divisors (see below), whose sum is σ = 598842004992. Its totient is φ = 82789205760.

The previous prime is 230200001971. The next prime is 230200002037.

230200002032 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 230200001998 and 230200002016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230200002037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7170548 + ... + 7202579.

Almost surely, 2230200002032 is an apocalyptic number.

230200002032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

230200002032 is an abundant number, since it is smaller than the sum of its proper divisors (368642002960).

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

230200002032 is a wasteful number, since it uses less digits than its factorization.

230200002032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14373166 (or 14373160 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

It can be divided in two parts, 23020000 and 2032, that added together give a palindrome (23022032).

The spelling of 230200002032 in words is "two hundred thirty billion, two hundred million, two thousand, thirty-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 286 308 364 572 616 728 1001 1144 1232 1456 2002 2288 4004 8008 16016 14373127 28746254 57492508 100611889 114985016 158104397 186850651 201223778 229970032 316208794 373701302 402447556 632417588 747402604 804895112 1106730779 1264835176 1307954557 1494805208 1609790224 2055357161 2213461558 2529670352 2615909114 2989610416 4110714322 4426923116 5231818228 8221428644 8853846232 10463636456 14387500127 16442857288 17707692464 20927272912 28775000254 32885714576 57550000508 115100001016 230200002032