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200444868 = 22351329547
BaseRepresentation
bin10111111001010…
…00101111000100
3111222011122200000
423330220233010
5402303213433
631520121300
74652516241
oct1374505704
9458148600
10200444868
11a3167218
1257166230
13326b1940
141c89a5c8
15128e6113
hexbf28bc4

200444868 has 144 divisors (see below), whose sum is σ = 586447680. Its totient is φ = 59439744.

The previous prime is 200444863. The next prime is 200444869. The reversal of 200444868 is 868444002.

200444868 is a `hidden beast` number, since 200 + 4 + 448 + 6 + 8 = 666.

200444868 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (200444863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 366171 + ... + 366717.

Almost surely, 2200444868 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 200444868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293223840).

200444868 is an abundant number, since it is smaller than the sum of its proper divisors (386002812).

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

200444868 is a wasteful number, since it uses less digits than its factorization.

200444868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 200444868 is about 14157.8553460614. The cubic root of 200444868 is about 585.2368271886.

The spelling of 200444868 in words is "two hundred million, four hundred forty-four thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 29 36 39 52 54 58 78 81 87 108 116 117 156 162 174 234 243 261 324 348 351 377 468 486 522 547 702 754 783 972 1044 1053 1094 1131 1404 1508 1566 1641 2106 2188 2262 2349 3132 3159 3282 3393 4212 4524 4698 4923 6318 6564 6786 7047 7111 9396 9846 10179 12636 13572 14094 14222 14769 15863 19692 20358 21333 28188 28444 29538 30537 31726 40716 42666 44307 47589 59076 61074 63452 63999 85332 88614 91611 95178 122148 127998 132921 142767 177228 183222 190356 191997 206219 255996 265842 285534 366444 383994 412438 428301 531684 571068 575991 618657 767988 824876 856602 1151982 1237314 1284903 1713204 1727973 1855971 2303964 2474628 2569806 3455946 3711942 3854709 5139612 5567913 6911892 7423884 7709418 11135826 15418836 16703739 22271652 33407478 50111217 66814956 100222434 200444868