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203251020 = 223572257269
BaseRepresentation
bin11000001110101…
…01110101001100
3112011110012222120
430013111311030
5404013013040
632100212540
75015414400
oct1407256514
9464405876
10203251020
11a4803555
125809a150
1333154c9b
141cdcb100
1512c9c7d0
hexc1d5d4c

203251020 has 144 divisors (see below), whose sum is σ = 667064160. Its totient is φ = 46104576.

The previous prime is 203250989. The next prime is 203251021. The reversal of 203251020 is 20152302.

203251020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203251021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 755446 + ... + 755714.

It is an arithmetic number, because the mean of its divisors is an integer number (4632390).

Almost surely, 2203251020 is an apocalyptic number.

203251020 is a gapful number since it is divisible by the number (20) 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 203251020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333532080).

203251020 is an abundant number, since it is smaller than the sum of its proper divisors (463813140).

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

203251020 is a wasteful number, since it uses less digits than its factorization.

203251020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 203251020 is about 14256.6132023002. The cubic root of 203251020 is about 587.9552120081.

The spelling of 203251020 in words is "two hundred three million, two hundred fifty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 257 269 294 420 490 514 538 588 735 771 807 980 1028 1076 1285 1345 1470 1542 1614 1799 1883 2570 2690 2940 3084 3228 3598 3766 3855 4035 5140 5380 5397 5649 7196 7532 7710 8070 8995 9415 10794 11298 12593 13181 15420 16140 17990 18830 21588 22596 25186 26362 26985 28245 35980 37660 37779 39543 50372 52724 53970 56490 62965 65905 69133 75558 79086 107940 112980 125930 131810 138266 151116 158172 188895 197715 207399 251860 263620 276532 345665 377790 395430 414798 483931 691330 755580 790860 829596 967862 1036995 1382660 1451793 1935724 2073990 2419655 2903586 3387517 4147980 4839310 5807172 6775034 7258965 9678620 10162551 13550068 14517930 16937585 20325102 29035860 33875170 40650204 50812755 67750340 101625510 203251020