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200196224 = 2711313841
BaseRepresentation
bin10111110111011…
…00000010000000
3111221201000120222
423323230002000
5402222234344
631510522212
74650432314
oct1373540200
9457630528
10200196224
11a3007428
1257066368
1332625707
141c833b44
15128975ee
hexbeec080

200196224 has 32 divisors (see below), whose sum is σ = 402386940. Its totient is φ = 99205120.

The previous prime is 200196223. The next prime is 200196239. The reversal of 200196224 is 422691002.

It can be written as a sum of positive squares in 2 ways, for example, as 166926400 + 33269824 = 12920^2 + 5768^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 200196193 and 200196202.

It is not an unprimeable number, because it can be changed into a prime (200196221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7544 + ... + 21384.

Almost surely, 2200196224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200196224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201193470).

200196224 is an abundant number, since it is smaller than the sum of its proper divisors (202190716).

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

200196224 is a wasteful number, since it uses less digits than its factorization.

200196224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13968 (or 13956 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 200196224 is about 14149.0714889706. The cubic root of 200196224 is about 584.9947392811.

The spelling of 200196224 in words is "two hundred million, one hundred ninety-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 113 128 226 452 904 1808 3616 7232 13841 14464 27682 55364 110728 221456 442912 885824 1564033 1771648 3128066 6256132 12512264 25024528 50049056 100098112 200196224