Search a number
-
+
245532200 = 23527117291
BaseRepresentation
bin11101010001010…
…00011000101000
3122010000022212012
432220220120220
51000324012300
640210335052
76040663214
oct1650503050
9563008765
10245532200
11116661a81
126a28a488
133bb39c34
1424875944
1516850435
hexea28628

245532200 has 48 divisors (see below), whose sum is σ = 578936160. Its totient is φ = 96824000.

The previous prime is 245532181. The next prime is 245532227. The reversal of 245532200 is 2235542.

It is a super-2 number, since 2×2455322002 = 120572122473680000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5555 + ... + 22845.

It is an arithmetic number, because the mean of its divisors is an integer number (12061170).

Almost surely, 2245532200 is an apocalyptic number.

245532200 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 245532200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289468080).

245532200 is an abundant number, since it is smaller than the sum of its proper divisors (333403960).

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

245532200 is a wasteful number, since it uses less digits than its factorization.

245532200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17378 (or 17369 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 245532200 is about 15669.4671255917. The cubic root of 245532200 is about 626.1852282868.

Adding to 245532200 its reverse (2235542), we get a palindrome (247767742).

The spelling of 245532200 in words is "two hundred forty-five million, five hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 142 200 284 355 568 710 1420 1775 2840 3550 7100 14200 17291 34582 69164 86455 138328 172910 345820 432275 691640 864550 1227661 1729100 2455322 3458200 4910644 6138305 9821288 12276610 24553220 30691525 49106440 61383050 122766100 245532200