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203222420424 = 233310375112163
BaseRepresentation
bin1011110101000100000…
…0000000101111001000
3201102112220211121022000
42331101000000233020
511312144414423144
6233205321431000
720453020033512
oct2752100005710
9642486747260
10203222420424
1179205838381
123347693b460
1316218b0aa1a
149b9c064bb2
155446300769
hex2f51000bc8

203222420424 has 128 divisors (see below), whose sum is σ = 570793267200. Its totient is φ = 66988296000.

The previous prime is 203222420417. The next prime is 203222420431. The reversal of 203222420424 is 424024222302.

It is an interprime number because it is at equal distance from previous prime (203222420417) and next prime (203222420431).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 16702167 + ... + 16714329.

It is an arithmetic number, because the mean of its divisors is an integer number (4459322400).

Almost surely, 2203222420424 is an apocalyptic number.

203222420424 is a gapful number since it is divisible by the number (24) 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 203222420424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285396633600).

203222420424 is an abundant number, since it is smaller than the sum of its proper divisors (367570846776).

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

203222420424 is a wasteful number, since it uses less digits than its factorization.

203222420424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13032 (or 13022 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 203222420424 its reverse (424024222302), we get a palindrome (627246642726).

The spelling of 203222420424 in words is "two hundred three billion, two hundred twenty-two million, four hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 103 108 206 216 309 412 618 751 824 927 1236 1502 1854 2253 2472 2781 3004 3708 4506 5562 6008 6759 7416 9012 11124 12163 13518 18024 20277 22248 24326 27036 36489 40554 48652 54072 72978 77353 81108 97304 109467 145956 154706 162216 218934 232059 291912 309412 328401 437868 464118 618824 656802 696177 875736 928236 1252789 1313604 1392354 1856472 2088531 2505578 2627208 2784708 3758367 4177062 5011156 5569416 7516734 8354124 9134413 10022312 11275101 15033468 16708248 18268826 22550202 27403239 30066936 33825303 36537652 45100404 54806478 67650606 73075304 82209717 90200808 109612956 135301212 164419434 219225912 246629151 270602424 328838868 493258302 657677736 940844539 986516604 1881689078 1973033208 2822533617 3763378156 5645067234 7526756312 8467600851 11290134468 16935201702 22580268936 25402802553 33870403404 50805605106 67740806808 101611210212 203222420424