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230257048 = 2371923972
BaseRepresentation
bin11011011100101…
…11000110011000
3121001021021021211
431232113012120
5432421211143
634503112504
75464103230
oct1556270630
9531237254
10230257048
11108a7958a
1265142734
133891c298
142281acc0
151533449d
hexdb97198

230257048 has 96 divisors (see below), whose sum is σ = 547603200. Its totient is φ = 88501248.

The previous prime is 230257037. The next prime is 230257087. The reversal of 230257048 is 840752032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2373736 + ... + 2373832.

It is an arithmetic number, because the mean of its divisors is an integer number (5704200).

Almost surely, 2230257048 is an apocalyptic number.

230257048 is a gapful number since it is divisible by the number (28) 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 230257048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273801600).

230257048 is an abundant number, since it is smaller than the sum of its proper divisors (317346152).

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

230257048 is a wasteful number, since it uses less digits than its factorization.

230257048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 230257048 is about 15174.2231432123. The cubic root of 230257048 is about 612.9207309499.

The spelling of 230257048 in words is "two hundred thirty million, two hundred fifty-seven thousand, forty-eight".

Divisors: 1 2 4 7 8 14 19 23 28 38 46 56 76 92 97 133 152 161 184 194 266 322 388 437 532 644 679 776 874 1064 1288 1358 1748 1843 2231 2716 3059 3496 3686 4462 5432 6118 7372 8924 9409 12236 12901 14744 15617 17848 18818 24472 25802 31234 37636 42389 51604 62468 65863 75272 84778 103208 124936 131726 169556 178771 216407 263452 296723 339112 357542 432814 526904 593446 715084 865628 1186892 1251397 1430168 1514849 1731256 2373784 2502794 3029698 4111733 5005588 6059396 8223466 10011176 12118792 16446932 28782131 32893864 57564262 115128524 230257048