Search a number
-
+
2223246425004 = 223211107349150343
BaseRepresentation
bin100000010110100011110…
…100000011101110101100
321212112120212101021121100
4200112203310003232230
5242411202041100004
64421202330403100
7316424055543633
oct40264364035654
97775525337540
102223246425004
11787967713180
122baa68890490
13131860a02ac7
147986a08851a
153cc721db739
hex205a3d03bac

2223246425004 has 144 divisors (see below), whose sum is σ = 6205839494400. Its totient is φ = 665497883520.

The previous prime is 2223246424991. The next prime is 2223246425011. The reversal of 2223246425004 is 4005246423222.

2223246425004 is a `hidden beast` number, since 2 + 2 + 2 + 3 + 2 + 4 + 642 + 5 + 0 + 0 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2223246425004.

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 47 ways as a sum of consecutive naturals, for example, 14712657 + ... + 14862999.

It is an arithmetic number, because the mean of its divisors is an integer number (43096107600).

Almost surely, 22223246425004 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 2223246425004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102919747200).

2223246425004 is an abundant number, since it is smaller than the sum of its proper divisors (3982593069396).

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

2223246425004 is a wasteful number, since it uses less digits than its factorization.

2223246425004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150820 (or 150815 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 2223246425004 in words is "two trillion, two hundred twenty-three billion, two hundred forty-six million, four hundred twenty-five thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 107 132 198 214 321 349 396 428 642 698 963 1047 1177 1284 1396 1926 2094 2354 3141 3531 3839 3852 4188 4708 6282 7062 7678 10593 11517 12564 14124 15356 21186 23034 34551 37343 42372 46068 69102 74686 112029 138204 149372 150343 224058 300686 336087 410773 448116 451029 601372 672174 821546 902058 1232319 1344348 1353087 1643092 1653773 1804116 2464638 2706174 3307546 3696957 4929276 4961319 5412348 6615092 7393914 9922638 14787828 14883957 16086701 19845276 29767914 32173402 48260103 52469707 59535828 64346804 96520206 104939414 144780309 157409121 176953711 193040412 209878828 289560618 314818242 353907422 472227363 530861133 577166777 579121236 629636484 707814844 944454726 1061722266 1154333554 1592583399 1731500331 1888909452 2123444532 2308667108 3185166798 3463000662 5194500993 5614258649 6370333596 6926001324 10389001986 11228517298 16842775947 20778003972 22457034596 33685551894 50528327841 61756845139 67371103788 101056655682 123513690278 185270535417 202113311364 247027380556 370541070834 555811606251 741082141668 1111623212502 2223246425004