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4224220010020 = 2255389293152821
BaseRepresentation
bin111101011110000111001…
…000100001011000100100
3112221211110011012101010201
4331132013020201120210
51023202200310310040
612552325131000244
7614122052435203
oct75360710413044
915854404171121
104224220010020
11138953308587a
12582822899084
1324845ab8608a
1410864bd6b23a
1574d358cda9a
hex3d787221624

4224220010020 has 96 divisors (see below), whose sum is σ = 9171043832160. Its totient is φ = 1633574891520.

The previous prime is 4224220010011. The next prime is 4224220010027. The reversal of 4224220010020 is 200100224224.

It can be written as a sum of positive squares in 16 ways, for example, as 239980454884 + 3984239555136 = 489878^2 + 1996056^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4224220010020.

It is not an unprimeable number, because it can be changed into a prime (4224220010027) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 27565210 + ... + 27718030.

It is an arithmetic number, because the mean of its divisors is an integer number (95531706585).

Almost surely, 24224220010020 is an apocalyptic number.

It is an amenable number.

4224220010020 is an abundant number, since it is smaller than the sum of its proper divisors (4946823822140).

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

4224220010020 is a wasteful number, since it uses less digits than its factorization.

4224220010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153265 (or 153263 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 4224220010020 its reverse (200100224224), we get a palindrome (4424320234244).

The spelling of 4224220010020 in words is "four trillion, two hundred twenty-four billion, two hundred twenty million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 53 89 106 178 212 265 293 356 445 530 586 890 1060 1172 1465 1780 2930 4717 5860 9434 15529 18868 23585 26077 31058 47170 52154 62116 77645 94340 104308 130385 152821 155290 260770 305642 310580 521540 611284 764105 1382081 1528210 2764162 3056420 5528324 6910405 8099513 13601069 13820810 16199026 27202138 27641620 32398052 40497565 44776553 54404276 68005345 80995130 89553106 136010690 161990260 179106212 223882765 272021380 447765530 720856657 895531060 1441713314 2373157309 2883426628 3604283285 3985113217 4746314618 7208566570 7970226434 9492629236 11865786545 14417133140 15940452868 19925566085 23731573090 39851132170 47463146180 79702264340 211211000501 422422001002 844844002004 1056055002505 2112110005010 4224220010020