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2422225520 = 2451113832551
BaseRepresentation
bin1001000001100000…
…0011101001110000
320020210211210202022
42100120003221300
514430042204040
61040204411012
7114011401661
oct22030035160
96223753668
102422225520
111033312980
12577246a68
132c7a9b050
1418d9a7368
15e29b66b5
hex90603a70

2422225520 has 160 divisors (see below), whose sum is σ = 6698571264. Its totient is φ = 802944000.

The previous prime is 2422225459. The next prime is 2422225523. The reversal of 2422225520 is 255222242.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 2422225520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2422225523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 948245 + ... + 950795.

Almost surely, 22422225520 is an apocalyptic number.

2422225520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2422225520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3349285632).

2422225520 is an abundant number, since it is smaller than the sum of its proper divisors (4276345744).

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

2422225520 is a wasteful number, since it uses less digits than its factorization.

2422225520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671 (or 2665 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 2422225520 is about 49216.1103704874. The cubic root of 2422225520 is about 1342.9861229881.

Adding to 2422225520 its reverse (255222242), we get a palindrome (2677447762).

It can be divided in two parts, 242222 and 5520, that added together give a palindrome (247742).

The spelling of 2422225520 in words is "two billion, four hundred twenty-two million, two hundred twenty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 83 88 104 110 130 143 166 176 208 220 260 286 332 415 440 520 572 664 715 830 880 913 1040 1079 1144 1328 1430 1660 1826 2158 2288 2551 2860 3320 3652 4316 4565 5102 5395 5720 6640 7304 8632 9130 10204 10790 11440 11869 12755 14608 17264 18260 20408 21580 23738 25510 28061 33163 36520 40816 43160 47476 51020 56122 59345 66326 73040 86320 94952 102040 112244 118690 132652 140305 165815 189904 204080 211733 224488 237380 265304 280610 331630 364793 423466 448976 474760 530608 561220 663260 729586 846932 949520 1058665 1122440 1326520 1459172 1693864 1823965 2117330 2244880 2329063 2653040 2752529 2918344 3387728 3647930 4234660 4658126 5505058 5836688 7295860 8469320 9316252 11010116 11645315 13762645 14591720 16938640 18632504 22020232 23290630 27525290 29183440 30277819 37265008 44040464 46581260 55050580 60555638 93162520 110101160 121111276 151389095 186325040 220202320 242222552 302778190 484445104 605556380 1211112760 2422225520