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233055000200 = 235211823128717
BaseRepresentation
bin1101100100001100101…
…0010001011010001000
3211021120000002200022002
43121003022101122020
512304244040001300
6255021453250132
722560214546661
oct3310312213210
9737500080262
10233055000200
118a924521090
1239201793948
1318c915b4aa9
14b3cc16c368
1560e03a85d5
hex3643291688

233055000200 has 96 divisors (see below), whose sum is σ = 591835066560. Its totient is φ = 84643641600.

The previous prime is 233055000197. The next prime is 233055000247. The reversal of 233055000200 is 2000550332.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1746242 + ... + 1874958.

It is an arithmetic number, because the mean of its divisors is an integer number (6164948610).

Almost surely, 2233055000200 is an apocalyptic number.

233055000200 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 233055000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295917533280).

233055000200 is an abundant number, since it is smaller than the sum of its proper divisors (358780066360).

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

233055000200 is a wasteful number, since it uses less digits than its factorization.

233055000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129567 (or 129558 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

Adding to 233055000200 its reverse (2000550332), we get a palindrome (235055550532).

The spelling of 233055000200 in words is "two hundred thirty-three billion, fifty-five million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 823 1100 1646 2200 3292 4115 6584 8230 9053 16460 18106 20575 32920 36212 41150 45265 72424 82300 90530 128717 164600 181060 226325 257434 362120 452650 514868 643585 905300 1029736 1287170 1415887 1810600 2574340 2831774 3217925 5148680 5663548 6435850 7079435 11327096 12871700 14158870 25743400 28317740 35397175 56635480 70794350 105934091 141588700 211868182 283177400 423736364 529670455 847472728 1059340910 1165275001 2118681820 2330550002 2648352275 4237363640 4661100004 5296704550 5826375005 9322200008 10593409100 11652750010 21186818200 23305500020 29131875025 46611000040 58263750050 116527500100 233055000200