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230232754900 = 22527297315517
BaseRepresentation
bin1101011001101011110…
…0010000101011010100
3211000021022112202120101
43112122330100223110
512233004041124100
6253433434543444
722430245061401
oct3263274205324
9730238482511
10230232754900
118970642a455
1238754597b84
1318931999465
14b2013d72a8
155ec772786a
hex359af10ad4

230232754900 has 36 divisors (see below), whose sum is σ = 499675128988. Its totient is φ = 92080189440.

The previous prime is 230232754837. The next prime is 230232754901. The reversal of 230232754900 is 9457232032.

230232754900 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 20085692176 + 210147062724 = 141724^2 + 458418^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 230232754900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230232754901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 571942 + ... + 887458.

Almost surely, 2230232754900 is an apocalyptic number.

230232754900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230232754900 is an abundant number, since it is smaller than the sum of its proper divisors (269442374088).

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

230232754900 is a wasteful number, since it uses less digits than its factorization.

230232754900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322828 (or 322821 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 37.

Adding to 230232754900 its reverse (9457232032), we get a palindrome (239689986932).

The spelling of 230232754900 in words is "two hundred thirty billion, two hundred thirty-two million, seven hundred fifty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 7297 14594 29188 36485 72970 145940 182425 315517 364850 631034 729700 1262068 1577585 3155170 6310340 7887925 15775850 31551700 2302327549 4604655098 9209310196 11511637745 23023275490 46046550980 57558188725 115116377450 230232754900