Search a number
-
+
245548220 = 225291812339
BaseRepresentation
bin11101010001011…
…00010010111100
3122010001010211112
432220230102330
51000330020340
640210541152
76041061011
oct1650542274
9563033745
10245548220
11116673015
126a2977b8
133bb44308
142487b708
1516855065
hexea2c4bc

245548220 has 48 divisors (see below), whose sum is σ = 536608800. Its totient is φ = 94268160.

The previous prime is 245548213. The next prime is 245548273. The reversal of 245548220 is 22845542.

245548220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103811 + ... + 106149.

It is an arithmetic number, because the mean of its divisors is an integer number (11179350).

Almost surely, 2245548220 is an apocalyptic number.

245548220 is a gapful number since it is divisible by the number (20) 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 245548220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268304400).

245548220 is an abundant number, since it is smaller than the sum of its proper divisors (291060580).

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

245548220 is a wasteful number, since it uses less digits than its factorization.

245548220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2558 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

The square root of 245548220 is about 15669.9783024738. The cubic root of 245548220 is about 626.1988466896.

The spelling of 245548220 in words is "two hundred forty-five million, five hundred forty-eight thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 181 290 362 580 724 905 1810 2339 3620 4678 5249 9356 10498 11695 20996 23390 26245 46780 52490 67831 104980 135662 271324 339155 423359 678310 846718 1356620 1693436 2116795 4233590 8467180 12277411 24554822 49109644 61387055 122774110 245548220