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200003104 = 2572229557
BaseRepresentation
bin10111110101111…
…00111000100000
3111221100012200101
423322330320200
5402200044404
631502432144
74645666300
oct1372747040
9457305611
10200003104
11a2995324
1256b92654
1332588842
141c7c3600
151285a2a4
hexbebce20

200003104 has 72 divisors (see below), whose sum is σ = 460868940. Its totient is φ = 85188096.

The previous prime is 200003099. The next prime is 200003123. The reversal of 200003104 is 401300002.

It can be written as a sum of positive squares in 2 ways, for example, as 199939600 + 63504 = 14140^2 + 252^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 358794 + ... + 359350.

Almost surely, 2200003104 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 200003104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230434470).

200003104 is an abundant number, since it is smaller than the sum of its proper divisors (260865836).

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

200003104 is a wasteful number, since it uses less digits than its factorization.

200003104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 200003104 is about 14142.2453662776. The cubic root of 200003104 is about 584.8065730106.

Adding to 200003104 its reverse (401300002), we get a palindrome (601303106).

It can be divided in two parts, 20000 and 3104, that added together give a square (23104 = 1522).

The spelling of 200003104 in words is "two hundred million, three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 229 392 458 557 784 916 1114 1568 1603 1832 2228 3206 3664 3899 4456 6412 7328 7798 8912 11221 12824 15596 17824 22442 25648 27293 31192 44884 51296 54586 62384 89768 109172 124768 127553 179536 218344 255106 359072 436688 510212 873376 892871 1020424 1785742 2040848 3571484 4081696 6250097 7142968 12500194 14285936 25000388 28571872 50000776 100001552 200003104