[go: up one dir, main page]

Search a number
-
+
230153500 = 225341103109
BaseRepresentation
bin11011011011111…
…01110100011100
3121001002000020201
431231331310130
5432404403000
634500553244
75463162313
oct1555756434
9531060221
10230153500
11108a08805
12650b2824
13388b4105
14227d127a
151531396a
hexdb7dd1c

230153500 has 96 divisors (see below), whose sum is σ = 524684160. Its totient is φ = 88128000.

The previous prime is 230153489. The next prime is 230153519. The reversal of 230153500 is 5351032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2111446 + ... + 2111554.

It is an arithmetic number, because the mean of its divisors is an integer number (5465460).

Almost surely, 2230153500 is an apocalyptic number.

230153500 is a gapful number since it is divisible by the number (20) 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 230153500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262342080).

230153500 is an abundant number, since it is smaller than the sum of its proper divisors (294530660).

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

230153500 is a wasteful number, since it uses less digits than its factorization.

230153500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 230153500 is about 15170.8107891437. The cubic root of 230153500 is about 612.8288391091.

The spelling of 230153500 in words is "two hundred thirty million, one hundred fifty-three thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 103 109 125 164 205 206 218 250 410 412 436 500 515 545 820 1025 1030 1090 2050 2060 2180 2575 2725 4100 4223 4469 5125 5150 5450 8446 8938 10250 10300 10900 11227 12875 13625 16892 17876 20500 21115 22345 22454 25750 27250 42230 44690 44908 51500 54500 56135 84460 89380 105575 111725 112270 211150 223450 224540 280675 422300 446900 460307 527875 558625 561350 920614 1055750 1117250 1122700 1403375 1841228 2111500 2234500 2301535 2806750 4603070 5613500 9206140 11507675 23015350 46030700 57538375 115076750 230153500