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203995872 = 25323173313
BaseRepresentation
bin11000010100010…
…11101011100000
3112012212001201200
430022023223200
5404210331442
632124201200
75024636103
oct1412135340
9465761650
10203995872
11a5172133
1258399200
1333356022
141d14273a
1512d9834c
hexc28bae0

203995872 has 144 divisors (see below), whose sum is σ = 608969088. Its totient is φ = 64696320.

The previous prime is 203995871. The next prime is 203995931. The reversal of 203995872 is 278599302.

203995872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2039958722 = 83228631586080768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203995871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 651588 + ... + 651900.

It is an arithmetic number, because the mean of its divisors is an integer number (4228952).

Almost surely, 2203995872 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 203995872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304484544).

203995872 is an abundant number, since it is smaller than the sum of its proper divisors (404973216).

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

203995872 is a wasteful number, since it uses less digits than its factorization.

203995872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 203995872 is about 14282.7123474500. The cubic root of 203995872 is about 588.6725609806.

The spelling of 203995872 in words is "two hundred three million, nine hundred ninety-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 73 93 96 124 144 146 186 219 248 279 288 292 313 372 438 496 558 584 626 657 744 876 939 992 1116 1168 1252 1314 1488 1752 1878 2232 2263 2336 2504 2628 2817 2976 3504 3756 4464 4526 5008 5256 5634 6789 7008 7512 8928 9052 9703 10016 10512 11268 13578 15024 18104 19406 20367 21024 22536 22849 27156 29109 30048 36208 38812 40734 45072 45698 54312 58218 68547 72416 77624 81468 87327 90144 91396 108624 116436 137094 155248 162936 174654 182792 205641 217248 232872 274188 310496 325872 349308 365584 411282 465744 548376 651744 698616 708319 731168 822564 931488 1096752 1397232 1416638 1645128 2124957 2193504 2794464 2833276 3290256 4249914 5666552 6374871 6580512 8499828 11333104 12749742 16999656 22666208 25499484 33999312 50998968 67998624 101997936 203995872