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245213100 = 22325211173147
BaseRepresentation
bin11101001110110…
…10011110101100
3122002102010010200
432213122132230
51000233304400
640155433500
76035163666
oct1647323654
9562363120
10245213100
11116464260
126a155890
133ba57912
14247d1536
15167dab00
hexe9da7ac

245213100 has 432 divisors, whose sum is σ = 935940096. Its totient is φ = 52992000.

The previous prime is 245213081. The next prime is 245213113. The reversal of 245213100 is 1312542.

It is a super-2 number, since 2×2452131002 = 120258928823220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 143 ways as a sum of consecutive naturals, for example, 5217277 + ... + 5217323.

It is an arithmetic number, because the mean of its divisors is an integer number (2166528).

Almost surely, 2245213100 is an apocalyptic number.

245213100 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 245213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467970048).

245213100 is an abundant number, since it is smaller than the sum of its proper divisors (690726996).

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

245213100 is a wasteful number, since it uses less digits than its factorization.

245213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 245213100 is about 15659.2815927168. The cubic root of 245213100 is about 625.9138418444.

Adding to 245213100 its reverse (1312542), we get a palindrome (246525642).

The spelling of 245213100 in words is "two hundred forty-five million, two hundred thirteen thousand, one hundred".