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200441223330 = 235195915737963
BaseRepresentation
bin1011101010101100111…
…0100101100010100010
3201011101002112011010020
42322223032211202202
511241000423121310
6232025331014310
720324056200255
oct2725316454242
9634332464106
10200441223330
1178008932887
1232a1b43a396
1315b9486507a
1499b693709c
15533207c170
hex2eab3a58a2

200441223330 has 128 divisors (see below), whose sum is σ = 518254156800. Its totient is φ = 49461145344.

The previous prime is 200441223299. The next prime is 200441223343. The reversal of 200441223330 is 33322144002.

200441223330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 200441223330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5260929 + ... + 5298891.

It is an arithmetic number, because the mean of its divisors is an integer number (4048860600).

Almost surely, 2200441223330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200441223330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259127078400).

200441223330 is an abundant number, since it is smaller than the sum of its proper divisors (317812933470).

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

200441223330 is a wasteful number, since it uses less digits than its factorization.

200441223330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38208.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 200441223330 its reverse (33322144002), we get a palindrome (233763367332).

The spelling of 200441223330 in words is "two hundred billion, four hundred forty-one million, two hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 59 95 114 118 157 177 190 285 295 314 354 471 570 590 785 885 942 1121 1570 1770 2242 2355 2983 3363 4710 5605 5966 6726 8949 9263 11210 14915 16815 17898 18526 27789 29830 33630 37963 44745 46315 55578 75926 89490 92630 113889 138945 175997 189815 227778 277890 351994 379630 527991 569445 721297 879985 1055982 1138890 1442594 1759970 2163891 2239817 2639955 3606485 4327782 4479634 5279910 5960191 6719451 7212970 10819455 11199085 11920382 13438902 17880573 21638910 22398170 29800955 33597255 35761146 42556523 59601910 67194510 85113046 89402865 113243629 127669569 178805730 212782615 226487258 255339138 339730887 351651269 425565230 566218145 638347845 679461774 703302538 1054953807 1132436290 1276695690 1698654435 1758256345 2109907614 3397308870 3516512690 5274769035 6681374111 10549538070 13362748222 20044122333 33406870555 40088244666 66813741110 100220611665 200441223330