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200203968 = 2631783739
BaseRepresentation
bin10111110111011…
…01111011000000
3111221201102012210
423323231323000
5402223011333
631511022120
74650464016
oct1373557300
9457642183
10200203968
11a3012228
125706a940
13326290b3
141c8368b6
1512899a63
hexbeedec0

200203968 has 112 divisors (see below), whose sum is σ = 568391040. Its totient is φ = 61968384.

The previous prime is 200203967. The next prime is 200204027. The reversal of 200203968 is 869302002.

It is not an unprimeable number, because it can be changed into a prime (200203963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270543 + ... + 271281.

It is an arithmetic number, because the mean of its divisors is an integer number (5074920).

Almost surely, 2200203968 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 200203968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284195520).

200203968 is an abundant number, since it is smaller than the sum of its proper divisors (368187072).

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

200203968 is a wasteful number, since it uses less digits than its factorization.

200203968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 200203968 is about 14149.3451438574. The cubic root of 200203968 is about 585.0022821154.

The spelling of 200203968 in words is "two hundred million, two hundred three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 83 96 102 136 166 192 204 249 272 332 408 498 544 664 739 816 996 1088 1328 1411 1478 1632 1992 2217 2656 2822 2956 3264 3984 4233 4434 5312 5644 5912 7968 8466 8868 11288 11824 12563 15936 16932 17736 22576 23648 25126 33864 35472 37689 45152 47296 50252 61337 67728 70944 75378 90304 100504 122674 135456 141888 150756 184011 201008 245348 270912 301512 368022 402016 490696 603024 736044 804032 981392 1042729 1206048 1472088 1962784 2085458 2412096 2944176 3128187 3925568 4170916 5888352 6256374 8341832 11776704 12512748 16683664 25025496 33367328 50050992 66734656 100101984 200203968