Search a number
-
+
230773632 = 273600973
BaseRepresentation
bin11011100000101…
…01001110000000
3121002020111220120
431300111032000
5433034224012
634522140240
75501354265
oct1560251600
9532214816
10230773632
111092a1711
1265351680
1338a7045b
142291326c
15153d758c
hexdc15380

230773632 has 32 divisors (see below), whose sum is σ = 612993480. Its totient is φ = 76924416.

The previous prime is 230773597. The next prime is 230773681. The reversal of 230773632 is 236377032.

230773632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 230773593 and 230773602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 300103 + ... + 300870.

Almost surely, 2230773632 is an apocalyptic number.

It is an amenable number.

230773632 is an abundant number, since it is smaller than the sum of its proper divisors (382219848).

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

230773632 is an equidigital number, since it uses as much as digits as its factorization.

230773632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600990 (or 600978 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 33.

The square root of 230773632 is about 15191.2353678034. The cubic root of 230773632 is about 613.3787532001.

The spelling of 230773632 in words is "two hundred thirty million, seven hundred seventy-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 600973 1201946 1802919 2403892 3605838 4807784 7211676 9615568 14423352 19231136 28846704 38462272 57693408 76924544 115386816 230773632