Search a number
-
+
230158143504 = 2432399792
BaseRepresentation
bin1101011001011001111…
…1101001000000010000
3211000002010011002222100
43112112133221000100
512232330441043004
6253422211440400
722425350640432
oct3262637510020
9730063132870
10230158143504
11896782a9843
12387335b6100
131891c3a49c3
14b1d5534652
155ec0dda739
hex35967e9010

230158143504 has 45 divisors (see below), whose sum is σ = 644139249663. Its totient is φ = 76717462176.

The previous prime is 230158143499. The next prime is 230158143511. The reversal of 230158143504 is 405341851032.

The square root of 230158143504 is 479748.

It is a perfect power (a square), and thus also a powerful number.

230158143504 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 5 + 8 + 143 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 5736987 + ... + 5776965.

Almost surely, 2230158143504 is an apocalyptic number.

230158143504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

230158143504 is the 479748-th square number.

It is an amenable number.

230158143504 is an abundant number, since it is smaller than the sum of its proper divisors (413981106159).

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

230158143504 is an frugal number, since it uses more digits than its factorization.

230158143504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79972 (or 39984 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Multiplying 230158143504 by its sum of digits (36), we get a square (8285693166144 = 28784882).

230158143504 divided by its sum of digits (36) gives a square (6393281764 = 799582).

Adding to 230158143504 its reverse (405341851032), we get a palindrome (635499994536).

The spelling of 230158143504 in words is "two hundred thirty billion, one hundred fifty-eight million, one hundred forty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 39979 79958 119937 159916 239874 319832 359811 479748 639664 719622 959496 1439244 1918992 2878488 5756976 1598320441 3196640882 4794961323 6393281764 9589922646 12786563528 14384883969 19179845292 25573127056 28769767938 38359690584 57539535876 76719381168 115079071752 230158143504