Search a number
-
+
231201232000 = 275314450077
BaseRepresentation
bin1101011101010010101…
…0101101010010000000
3211002202210220111101121
43113110222231102000
512242000003411000
6254113512442024
722463245021654
oct3272452552200
9732683814347
10231201232000
118a063082652
12389849a9314
1318a5751a42b
14b293c9aa64
15603277db1a
hex35d4aad480

231201232000 has 64 divisors (see below), whose sum is σ = 574824102840. Its totient is φ = 92480486400.

The previous prime is 231201231997. The next prime is 231201232049. The reversal of 231201232000 is 232102132.

It can be written as a sum of positive squares in 4 ways, for example, as 136302732864 + 94898499136 = 369192^2 + 308056^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

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 7 ways as a sum of consecutive naturals, for example, 7209039 + ... + 7241038.

Almost surely, 2231201232000 is an apocalyptic number.

231201232000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231201232000 is an abundant number, since it is smaller than the sum of its proper divisors (343622870840).

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

231201232000 is an equidigital number, since it uses as much as digits as its factorization.

231201232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14450106 (or 14450084 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 231201232000 its reverse (232102132), we get a palindrome (231433334132).

The spelling of 231201232000 in words is "two hundred thirty-one billion, two hundred one million, two hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 14450077 28900154 57800308 72250385 115600616 144500770 231201232 289001540 361251925 462402464 578003080 722503850 924804928 1156006160 1445007700 1806259625 1849609856 2312012320 2890015400 3612519250 4624024640 5780030800 7225038500 9248049280 11560061600 14450077000 23120123200 28900154000 46240246400 57800308000 115600616000 231201232000