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420220440220 = 225789131257447
BaseRepresentation
bin1100001110101110001…
…01110000111010011100
31111011122212220011101011
412013113011300322130
523341102413041340
6521014022225004
742234311543530
oct6072705607234
91434585804334
10420220440220
1115223a535419
1269536b85164
133081b8a8b79
14164a586bbc0
15ade6baa0ea
hex61d7170e9c

420220440220 has 96 divisors (see below), whose sum is σ = 1027650032640. Its totient is φ = 141368747520.

The previous prime is 420220440217. The next prime is 420220440281. The reversal of 420220440220 is 22044022024.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 420220440191 and 420220440200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1503537 + ... + 1760983.

It is an arithmetic number, because the mean of its divisors is an integer number (10704687840).

Almost surely, 2420220440220 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 420220440220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513825016320).

420220440220 is an abundant number, since it is smaller than the sum of its proper divisors (607429592420).

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

420220440220 is a wasteful number, since it uses less digits than its factorization.

420220440220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257683 (or 257681 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 420220440220 its reverse (22044022024), we get a palindrome (442264462244).

It can be divided in two parts, 4202204 and 40220, that added together give a palindrome (4242424).

The spelling of 420220440220 in words is "four hundred twenty billion, two hundred twenty million, four hundred forty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 89 131 140 178 262 356 445 524 623 655 890 917 1246 1310 1780 1834 2492 2620 3115 3668 4585 6230 9170 11659 12460 18340 23318 46636 58295 81613 116590 163226 233180 257447 326452 408065 514894 816130 1029788 1287235 1632260 1802129 2574470 3604258 5148940 7208516 9010645 18021290 22912783 33725557 36042580 45825566 67451114 91651132 114563915 134902228 160389481 168627785 229127830 236078899 320778962 337255570 458255660 472157798 641557924 674511140 801947405 944315596 1180394495 1603894810 2360788990 3001574573 3207789620 4721577980 6003149146 12006298292 15007872865 21011022011 30015745730 42022044022 60031491460 84044088044 105055110055 210110220110 420220440220