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230150380 = 22529537487
BaseRepresentation
bin11011011011111…
…01000011101100
3121001001211222011
431231331003230
5432404303010
634500531004
75463150235
oct1555750354
9531054864
10230150380
11108a06429
12650b0a64
13388b2875
14227d008c
1515312a8a
hexdb7d0ec

230150380 has 48 divisors (see below), whose sum is σ = 509483520. Its totient is φ = 87196928.

The previous prime is 230150359. The next prime is 230150381. The reversal of 230150380 is 83051032.

It is not an unprimeable number, because it can be changed into a prime (230150381) 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, 26997 + ... + 34483.

It is an arithmetic number, because the mean of its divisors is an integer number (10614240).

Almost surely, 2230150380 is an apocalyptic number.

230150380 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 230150380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254741760).

230150380 is an abundant number, since it is smaller than the sum of its proper divisors (279333140).

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

230150380 is a wasteful number, since it uses less digits than its factorization.

230150380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7578 (or 7576 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 230150380 is about 15170.7079597493. The cubic root of 230150380 is about 612.8260698926.

The spelling of 230150380 in words is "two hundred thirty million, one hundred fifty thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 29 53 58 106 116 145 212 265 290 530 580 1060 1537 3074 6148 7487 7685 14974 15370 29948 30740 37435 74870 149740 217123 396811 434246 793622 868492 1085615 1587244 1984055 2171230 3968110 4342460 7936220 11507519 23015038 46030076 57537595 115075190 230150380