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203223104 = 2673114633
BaseRepresentation
bin11000001110011…
…11000001000000
3112011101210200122
430013033001000
5404011114404
632055435412
75015240120
oct1407170100
9464353618
10203223104
11a4794587
1258085b68
1333145376
141cdc0c80
1512c943be
hexc1cf040

203223104 has 56 divisors (see below), whose sum is σ = 475780608. Its totient is φ = 84280320.

The previous prime is 203223103. The next prime is 203223113. The reversal of 203223104 is 401322302.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (203223103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6572 + ... + 21204.

Almost surely, 2203223104 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 203223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237890304).

203223104 is an abundant number, since it is smaller than the sum of its proper divisors (272557504).

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

203223104 is a wasteful number, since it uses less digits than its factorization.

203223104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14683 (or 14673 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 203223104 is about 14255.6341142722. The cubic root of 203223104 is about 587.9282927349.

Adding to 203223104 its reverse (401322302), we get a palindrome (604545406).

The spelling of 203223104 in words is "two hundred three million, two hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 248 434 448 496 868 992 1736 1984 3472 6944 13888 14633 29266 58532 102431 117064 204862 234128 409724 453623 468256 819448 907246 936512 1638896 1814492 3175361 3277792 3628984 6350722 6555584 7257968 12701444 14515936 25402888 29031872 50805776 101611552 203223104