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203320020224 = 2819373112067
BaseRepresentation
bin1011110101011011010…
…0010100110100000000
3201102210201111012001102
42331112310110310000
511312344411121344
6233223125353532
720455313441156
oct2752664246400
9642721435042
10203320020224
117925593a572
12334a35688a8
13162330c0b99
149baadcd3d6
15544eb7de4e
hex2f56d14d00

203320020224 has 72 divisors (see below), whose sum is σ = 428355275040. Its totient is φ = 96050423808.

The previous prime is 203320020223. The next prime is 203320020227. The reversal of 203320020224 is 422020023302.

It is a junction number, because it is equal to n+sod(n) for n = 203320020196 and 203320020205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203320020221) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1758239 + ... + 1870305.

It is an arithmetic number, because the mean of its divisors is an integer number (5949378820).

Almost surely, 2203320020224 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 203320020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214177637520).

203320020224 is an abundant number, since it is smaller than the sum of its proper divisors (225035254816).

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

203320020224 is a wasteful number, since it uses less digits than its factorization.

203320020224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112475 (or 112461 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 203320020224 its reverse (422020023302), we get a palindrome (625340043526).

The spelling of 203320020224 in words is "two hundred three billion, three hundred twenty million, twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 373 608 746 1216 1492 2432 2984 4864 5968 7087 11936 14174 23872 28348 47744 56696 95488 112067 113392 224134 226784 448268 453568 896536 907136 1793072 1814272 2129273 3586144 4258546 7172288 8517092 14344576 17034184 28689152 34068368 41800991 68136736 83601982 136273472 167203964 272546944 334407928 545093888 668815856 794218829 1337631712 1588437658 2675263424 3176875316 5350526848 6353750632 10701053696 12707501264 25415002528 50830005056 101660010112 203320020224