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203312088 = 233272317539
BaseRepresentation
bin11000001111001…
…00101111011000
3112011120022202100
430013210233120
5404021441323
632101403400
75016060420
oct1407445730
9464508670
10203312088
11a4845421
1258109560
1333176a15
141d005480
1512cb0943
hexc1e4bd8

203312088 has 96 divisors (see below), whose sum is σ = 656697600. Its totient is φ = 55560384.

The previous prime is 203312063. The next prime is 203312089. The reversal of 203312088 is 880213302.

203312088 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203312089) 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, 2823 + ... + 20361.

It is an arithmetic number, because the mean of its divisors is an integer number (6840600).

Almost surely, 2203312088 is an apocalyptic number.

203312088 is a gapful number since it is divisible by the number (28) 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 203312088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328348800).

203312088 is an abundant number, since it is smaller than the sum of its proper divisors (453385512).

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

203312088 is a wasteful number, since it uses less digits than its factorization.

203312088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17581 (or 17574 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 203312088 is about 14258.7547843421. The cubic root of 203312088 is about 588.0140910131.

The spelling of 203312088 in words is "two hundred three million, three hundred twelve thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1288 1449 1656 1932 2898 3864 5796 11592 17539 35078 52617 70156 105234 122773 140312 157851 210468 245546 315702 368319 403397 420936 491092 631404 736638 806794 982184 1104957 1210191 1262808 1473276 1613588 2209914 2420382 2823779 2946552 3227176 3630573 4419828 4840764 5647558 7261146 8471337 8839656 9681528 11295116 14522292 16942674 22590232 25414011 29044584 33885348 50828022 67770696 101656044 203312088