Search a number
-
+
230352150 = 23527792777
BaseRepresentation
bin11011011101011…
…10010100010110
3121001110002202010
431232232110112
5432432232100
634505125050
75464650420
oct1556562426
9531402663
10230352150
11109033a86
1265189786
1338953662
1422843810
1515352750
hexdbae516

230352150 has 96 divisors (see below), whose sum is σ = 661386240. Its totient is φ = 51966720.

The previous prime is 230352149. The next prime is 230352167. The reversal of 230352150 is 51253032.

It is a super-2 number, since 2×2303521502 = 106124226019245000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81562 + ... + 84338.

It is an arithmetic number, because the mean of its divisors is an integer number (6889440).

Almost surely, 2230352150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230352150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330693120).

230352150 is an abundant number, since it is smaller than the sum of its proper divisors (431034090).

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

230352150 is a wasteful number, since it uses less digits than its factorization.

230352150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2878 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 230352150 is about 15177.3564891914. The cubic root of 230352150 is about 613.0051032701.

It can be divided in two parts, 230 and 352150, that added together give a triangular number (352380 = T839).

The spelling of 230352150 in words is "two hundred thirty million, three hundred fifty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 79 105 150 158 175 210 237 350 395 474 525 553 790 1050 1106 1185 1659 1975 2370 2765 2777 3318 3950 5530 5554 5925 8295 8331 11850 13825 13885 16590 16662 19439 27650 27770 38878 41475 41655 58317 69425 82950 83310 97195 116634 138850 194390 208275 219383 291585 416550 438766 485975 583170 658149 971950 1096915 1316298 1457925 1535681 2193830 2915850 3071362 3290745 4607043 5484575 6581490 7678405 9214086 10969150 15356810 16453725 23035215 32907450 38392025 46070430 76784050 115176075 230352150