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230175372 = 223731372389
BaseRepresentation
bin11011011100000…
…11001010001100
3121001010010020210
431232003022030
5432411102442
634501242420
75463313140
oct1556031214
9531103223
10230175372
11108a23189
1265103410
13388c105b
14227d9220
151531a19c
hexdb8328c

230175372 has 96 divisors (see below), whose sum is σ = 650997760. Its totient is φ = 61896960.

The previous prime is 230175331. The next prime is 230175373. The reversal of 230175372 is 273571032.

It is not an unprimeable number, because it can be changed into a prime (230175373) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 95154 + ... + 97542.

Almost surely, 2230175372 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 230175372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325498880).

230175372 is an abundant number, since it is smaller than the sum of its proper divisors (420822388).

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

230175372 is a wasteful number, since it uses less digits than its factorization.

230175372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 230175372 is about 15171.5316299970. The cubic root of 230175372 is about 612.8482513243.

The spelling of 230175372 in words is "two hundred thirty million, one hundred seventy-five thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 37 42 62 74 84 93 111 124 148 186 217 222 259 372 434 444 518 651 777 868 1036 1147 1302 1554 2294 2389 2604 3108 3441 4588 4778 6882 7167 8029 9556 13764 14334 16058 16723 24087 28668 32116 33446 48174 50169 66892 74059 88393 96348 100338 148118 176786 200676 222177 265179 296236 353572 444354 518413 530358 618751 888708 1036826 1060716 1237502 1555239 1856253 2073652 2475004 2740183 3110478 3712506 5480366 6220956 7425012 8220549 10960732 16441098 19181281 32882196 38362562 57543843 76725124 115087686 230175372