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420202244220 = 223511265638819
BaseRepresentation
bin1100001110101100000…
…00010110100001111100
31111011121121122201011020
412013112000112201330
523341033233303340
6521012132224140
742234001100133
oct6072600264174
91434547581136
10420202244220
11152230237500
1269530a6b050
1330817ba78c5
14164a329291a
15ade52b39d0
hex61d601687c

420202244220 has 144 divisors (see below), whose sum is σ = 1293594261120. Its totient is φ = 101840140160.

The previous prime is 420202244219. The next prime is 420202244263. The reversal of 420202244220 is 22442202024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47642971 + ... + 47651789.

It is an arithmetic number, because the mean of its divisors is an integer number (8983293480).

Almost surely, 2420202244220 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 420202244220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646797130560).

420202244220 is an abundant number, since it is smaller than the sum of its proper divisors (873392016900).

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

420202244220 is a wasteful number, since it uses less digits than its factorization.

420202244220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15416 (or 15403 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 420202244220 its reverse (22442202024), we get a palindrome (442644446244).

The spelling of 420202244220 in words is "four hundred twenty billion, two hundred two million, two hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 6563 7260 8819 13126 17638 19689 26252 26457 32815 35276 39378 44095 52914 65630 72193 78756 88190 97009 98445 105828 131260 132285 144386 176380 194018 196890 216579 264570 288772 291027 360965 388036 393780 433158 485045 529140 582054 721930 794123 866316 970090 1067099 1082895 1164108 1443860 1455135 1588246 1940180 2134198 2165790 2382369 2910270 3176492 3201297 3970615 4268396 4331580 4764738 5335495 5820540 6402594 7941230 9529476 10670990 11911845 12805188 15882460 16006485 21341980 23823690 32012970 47647380 57879097 64025940 115758194 173637291 231516388 289395485 347274582 578790970 636670067 694549164 868186455 1157581940 1273340134 1736372910 1910010201 2546680268 3183350335 3472745820 3820020402 6366700670 7003370737 7640040804 9550051005 12733401340 14006741474 19100102010 21010112211 28013482948 35016853685 38200204020 42020224422 70033707370 84040448844 105050561055 140067414740 210101122110 420202244220