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200245248 = 21532797
BaseRepresentation
bin10111110111110…
…00000000000000
3111221210111211200
423323320000000
5402230321443
631511541200
74651025250
oct1373700000
9457714750
10200245248
11a3040245
125708a800
1332641b18
141c847960
15128a6dd3
hexbef8000

200245248 has 192 divisors, whose sum is σ = 667932720. Its totient is φ = 56623104.

The previous prime is 200245229. The next prime is 200245267. The reversal of 200245248 is 842542002.

It is a happy number.

200245248 is a `hidden beast` number, since 200 + 2 + 452 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (200245229) and next prime (200245267).

It is a tau number, because it is divible by the number of its divisors (192).

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 11 ways as a sum of consecutive naturals, for example, 2064336 + ... + 2064432.

Almost surely, 2200245248 is an apocalyptic number.

200245248 is a gapful number since it is divisible by the number (28) 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 200245248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333966360).

200245248 is an abundant number, since it is smaller than the sum of its proper divisors (467687472).

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

200245248 is an frugal number, since it uses more digits than its factorization.

200245248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 200245248 is about 14150.8037934246. The cubic root of 200245248 is about 585.0424865045.

The spelling of 200245248 in words is "two hundred million, two hundred forty-five thousand, two hundred forty-eight".