Search a number
-
+
248213300 = 22529725589
BaseRepresentation
bin11101100101101…
…10111100110100
3122022001112122012
432302312330310
51002020311200
640344023352
76102530636
oct1662667464
9568045565
10248213300
11118123365
126b161b58
133c56839a
1424d72a56
1516bcea35
hexecb6f34

248213300 has 36 divisors (see below), whose sum is σ = 544196940. Its totient is φ = 98257920.

The previous prime is 248213281. The next prime is 248213323. The reversal of 248213300 is 3312842.

It can be written as a sum of positive squares in 6 ways, for example, as 1157776 + 247055524 = 1076^2 + 15718^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 3095 + ... + 22494.

Almost surely, 2248213300 is an apocalyptic number.

248213300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248213300 is an abundant number, since it is smaller than the sum of its proper divisors (295983640).

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

248213300 is a wasteful number, since it uses less digits than its factorization.

248213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25700 (or 25693 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 248213300 is about 15754.7865742447. The cubic root of 248213300 is about 628.4562015761.

The spelling of 248213300 in words is "two hundred forty-eight million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 970 1940 2425 4850 9700 25589 51178 102356 127945 255890 511780 639725 1279450 2482133 2558900 4964266 9928532 12410665 24821330 49642660 62053325 124106650 248213300