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59228956900 = 2252243372
BaseRepresentation
bin110111001010010100…
…100010100011100100
312122212202201202110101
4313022110202203210
51432300103110100
643113122033444
74164514553431
oct671224424344
9178782652411
1059228956900
1123134224a63
12b58b7a8884
13577baa5579
142c1c304b88
151819bea86a
hexdca5228e4

59228956900 has 27 divisors (see below), whose sum is σ = 128532117819. Its totient is φ = 23690609280.

The previous prime is 59228956889. The next prime is 59228956901. The reversal of 59228956900 is 965982295.

The square root of 59228956900 is 243370.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 20596268196 + 38632688704 = 143514^2 + 196552^2 .

It is a super-3 number, since 3×592289569003 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (59228956901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2421532 + ... + 2445868.

Almost surely, 259228956900 is an apocalyptic number.

59228956900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

59228956900 is the 243370-th square number.

It is an amenable number.

59228956900 is an abundant number, since it is smaller than the sum of its proper divisors (69303160919).

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

59228956900 is an frugal number, since it uses more digits than its factorization.

59228956900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48688 (or 24344 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 55.

The spelling of 59228956900 in words is "fifty-nine billion, two hundred twenty-eight million, nine hundred fifty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 24337 48674 97348 121685 243370 486740 608425 1216850 2433700 592289569 1184579138 2369158276 2961447845 5922895690 11845791380 14807239225 29614478450 59228956900