Search a number
-
+
54148210200 = 233252719226183
BaseRepresentation
bin110010011011011111…
…000001111000011000
312011202200102002020200
4302123133001320120
51341343420211300
640513024022200
73624562123020
oct623337017030
9164680362220
1054148210200
1120a67286847
12a5b2161960
13514c2b4786
142899624a80
15161db44200
hexc9b7c1e18

54148210200 has 288 divisors, whose sum is σ = 218765164800. Its totient is φ = 11725274880.

The previous prime is 54148210199. The next prime is 54148210201. The reversal of 54148210200 is 201284145.

54148210200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54148210199) and next prime (54148210201).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54148210201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 126309 + ... + 352491.

Almost surely, 254148210200 is an apocalyptic number.

54148210200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54148210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109382582400).

54148210200 is an abundant number, since it is smaller than the sum of its proper divisors (164616954600).

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

54148210200 is a wasteful number, since it uses less digits than its factorization.

54148210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226231 (or 226219 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 54148210200 its reverse (201284145), we get a palindrome (54349494345).

The spelling of 54148210200 in words is "fifty-four billion, one hundred forty-eight million, two hundred ten thousand, two hundred".