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230145024 = 2103193943
BaseRepresentation
bin11011011011110…
…11110000000000
3121001001120121210
431231323300000
5432404120044
634500450120
75463125514
oct1555736000
9531046553
10230145024
11108a023aa
12650a9940
13388b02b5
14227cc144
15153111b9
hexdb7bc00

230145024 has 88 divisors (see below), whose sum is σ = 645869440. Its totient is φ = 72658944.

The previous prime is 230145007. The next prime is 230145037. The reversal of 230145024 is 420541032.

230145024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56397 + ... + 60339.

Almost surely, 2230145024 is an apocalyptic number.

230145024 is a gapful number since it is divisible by the number (24) 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 230145024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322934720).

230145024 is an abundant number, since it is smaller than the sum of its proper divisors (415724416).

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

230145024 is a wasteful number, since it uses less digits than its factorization.

230145024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3985 (or 3967 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 230145024 is about 15170.5314343302. The cubic root of 230145024 is about 612.8213160126.

Adding to 230145024 its reverse (420541032), we get a palindrome (650686056).

The spelling of 230145024 in words is "two hundred thirty million, one hundred forty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1024 1216 1536 1824 2432 3072 3648 3943 4864 7296 7886 9728 11829 14592 15772 19456 23658 29184 31544 47316 58368 63088 74917 94632 126176 149834 189264 224751 252352 299668 378528 449502 504704 599336 757056 899004 1009408 1198672 1514112 1798008 2018816 2397344 3028224 3596016 4037632 4794688 6056448 7192032 9589376 12112896 14384064 19178752 28768128 38357504 57536256 76715008 115072512 230145024