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245540100 = 2235213229167
BaseRepresentation
bin11101010001010…
…10010100000100
3122010000201200210
432220222110010
51000324240400
640210435420
76041025231
oct1650522404
9563021623
10245540100
11116667a03
126a292b70
133bb40700
1424878788
1516852950
hexea2a504

245540100 has 216 divisors, whose sum is σ = 800573760. Its totient is φ = 58007040.

The previous prime is 245540089. The next prime is 245540143. The reversal of 245540100 is 1045542.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 1470217 + ... + 1470383.

It is an arithmetic number, because the mean of its divisors is an integer number (3706360).

Almost surely, 2245540100 is an apocalyptic number.

245540100 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 245540100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400286880).

245540100 is an abundant number, since it is smaller than the sum of its proper divisors (555033660).

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

245540100 is a wasteful number, since it uses less digits than its factorization.

245540100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 245540100 is about 15669.7192061632. The cubic root of 245540100 is about 626.1919440526.

Adding to 245540100 its reverse (1045542), we get a palindrome (246585642).

The spelling of 245540100 in words is "two hundred forty-five million, five hundred forty thousand, one hundred".