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422013540 = 223513312563
BaseRepresentation
bin11001001001110…
…110101001100100
31002102002111202010
4121021312221210
51331013413130
6105513114220
713313025114
oct3111665144
91072074663
10422013540
111a7241023
12b93b8970
136957b370
1440095044
15270b10b0
hex19276a64

422013540 has 144 divisors (see below), whose sum is σ = 1317242304. Its totient is φ = 100350720.

The previous prime is 422013523. The next prime is 422013547. The reversal of 422013540 is 45310224.

It is not an unprimeable number, because it can be changed into a prime (422013547) 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, 749299 + ... + 749861.

It is an arithmetic number, because the mean of its divisors is an integer number (9147516).

Almost surely, 2422013540 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 422013540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658621152).

422013540 is an abundant number, since it is smaller than the sum of its proper divisors (895228764).

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

422013540 is a wasteful number, since it uses less digits than its factorization.

422013540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 422013540 is about 20542.9681399743. The cubic root of 422013540 is about 750.0820887927.

Adding to 422013540 its reverse (45310224), we get a palindrome (467323764).

The spelling of 422013540 in words is "four hundred twenty-two million, thirteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 31 39 52 60 62 65 78 93 124 130 155 156 186 195 260 310 372 390 403 465 563 620 780 806 930 961 1126 1209 1612 1689 1860 1922 2015 2252 2418 2815 2883 3378 3844 4030 4805 4836 5630 5766 6045 6756 7319 8060 8445 9610 11260 11532 12090 12493 14415 14638 16890 17453 19220 21957 24180 24986 28830 29276 33780 34906 36595 37479 43914 49972 52359 57660 62465 69812 73190 74958 87265 87828 104718 109785 124930 146380 149916 174530 187395 209436 219570 226889 249860 261795 349060 374790 439140 453778 523590 541043 680667 749580 907556 1047180 1082086 1134445 1361334 1623129 2164172 2268890 2705215 2722668 3246258 3403335 4537780 5410430 6492516 6806670 7033559 8115645 10820860 13613340 14067118 16231290 21100677 28134236 32462580 35167795 42201354 70335590 84402708 105503385 140671180 211006770 422013540