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230157872 = 24723471901
BaseRepresentation
bin11011011011111…
…10111000110000
3121001002020020122
431231332320300
5432410022442
634501025412
75463211130
oct1555767060
9531066218
10230157872
11108a1101a
12650b5268
13388b60b9
14227d2ac0
1515314dd2
hexdb7ee30

230157872 has 80 divisors (see below), whose sum is σ = 543393792. Its totient is φ = 92294400.

The previous prime is 230157859. The next prime is 230157877. The reversal of 230157872 is 278751032.

It is not an unprimeable number, because it can be changed into a prime (230157877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120122 + ... + 122022.

Almost surely, 2230157872 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 230157872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271696896).

230157872 is an abundant number, since it is smaller than the sum of its proper divisors (313235920).

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

230157872 is a wasteful number, since it uses less digits than its factorization.

230157872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 230157872 is about 15170.9548809559. The cubic root of 230157872 is about 612.8327195204.

The spelling of 230157872 in words is "two hundred thirty million, one hundred fifty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 23 28 46 47 56 92 94 112 161 184 188 322 329 368 376 644 658 752 1081 1288 1316 1901 2162 2576 2632 3802 4324 5264 7567 7604 8648 13307 15134 15208 17296 26614 30268 30416 43723 53228 60536 87446 89347 106456 121072 174892 178694 212912 306061 349784 357388 612122 625429 699568 714776 1224244 1250858 1429552 2054981 2448488 2501716 4109962 4896976 5003432 8219924 10006864 14384867 16439848 28769734 32879696 57539468 115078936 230157872