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245542100 = 22524789587
BaseRepresentation
bin11101010001010…
…10110011010100
3122010000211102212
432220222303110
51000324321400
640210452552
76041034116
oct1650526324
9563024385
10245542100
11116669461
126a294158
133bb415ab
14248793b6
1516853335
hexea2acd4

245542100 has 72 divisors (see below), whose sum is σ = 551214720. Its totient is φ = 94885120.

The previous prime is 245542097. The next prime is 245542117. The reversal of 245542100 is 1245542.

It is a happy number.

245542100 is digitally balanced in base 2 and base 3, because in such bases 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 23 ways as a sum of consecutive naturals, for example, 418007 + ... + 418593.

It is an arithmetic number, because the mean of its divisors is an integer number (7655760).

Almost surely, 2245542100 is an apocalyptic number.

245542100 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 245542100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275607360).

245542100 is an abundant number, since it is smaller than the sum of its proper divisors (305672620).

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

245542100 is a wasteful number, since it uses less digits than its factorization.

245542100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 245542100 is about 15669.7830233861. The cubic root of 245542100 is about 626.1936442236.

Adding to 245542100 its reverse (1245542), we get a palindrome (246787642).

The spelling of 245542100 in words is "two hundred forty-five million, five hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 89 94 100 178 188 235 356 445 470 587 890 940 1174 1175 1780 2225 2348 2350 2935 4183 4450 4700 5870 8366 8900 11740 14675 16732 20915 27589 29350 41830 52243 55178 58700 83660 104486 104575 110356 137945 208972 209150 261215 275890 418300 522430 551780 689725 1044860 1306075 1379450 2455421 2612150 2758900 4910842 5224300 9821684 12277105 24554210 49108420 61385525 122771050 245542100