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230153120 = 2551438457
BaseRepresentation
bin11011011011111…
…01101110100000
3121001001222201122
431231331232200
5432404344440
634500551412
75463161231
oct1555755640
9531058648
10230153120
11108a0849a
12650b2568
13388b3ba2
14227d1088
15153137b5
hexdb7dba0

230153120 has 24 divisors (see below), whose sum is σ = 543737124. Its totient is φ = 92061184.

The previous prime is 230153117. The next prime is 230153129. The reversal of 230153120 is 21351032.

It can be written as a sum of positive squares in 2 ways, for example, as 209323024 + 20830096 = 14468^2 + 4564^2 .

It is not an unprimeable number, because it can be changed into a prime (230153129) 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 3 ways as a sum of consecutive naturals, for example, 719069 + ... + 719388.

Almost surely, 2230153120 is an apocalyptic number.

230153120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230153120 is an abundant number, since it is smaller than the sum of its proper divisors (313584004).

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

230153120 is a wasteful number, since it uses less digits than its factorization.

230153120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438472 (or 1438464 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 230153120 is about 15170.7982650881. The cubic root of 230153120 is about 612.8285018341.

The spelling of 230153120 in words is "two hundred thirty million, one hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1438457 2876914 5753828 7192285 11507656 14384570 23015312 28769140 46030624 57538280 115076560 230153120