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200233242 = 233111779251
BaseRepresentation
bin10111110111101…
…01000100011010
3111221202220101000
423323311010122
5402224430432
631511405430
74650645246
oct1373650432
9457686330
10200233242
11a3032220
1257083876
1332639511
141c843426
15128a357c
hexbef511a

200233242 has 128 divisors (see below), whose sum is σ = 522547200. Its totient is φ = 56160000.

The previous prime is 200233213. The next prime is 200233289. The reversal of 200233242 is 242332002.

200233242 is digitally balanced in base 3, 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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 797617 + ... + 797867.

It is an arithmetic number, because the mean of its divisors is an integer number (4082400).

Almost surely, 2200233242 is an apocalyptic number.

200233242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 200233242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261273600).

200233242 is an abundant number, since it is smaller than the sum of its proper divisors (322313958).

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

200233242 is a wasteful number, since it uses less digits than its factorization.

200233242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 200233242 is about 14150.3795708808. The cubic root of 200233242 is about 585.0307939083.

Adding to 200233242 its reverse (242332002), we get a palindrome (442565244).

The spelling of 200233242 in words is "two hundred million, two hundred thirty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 79 99 102 153 158 187 198 237 251 297 306 374 459 474 502 561 594 711 753 869 918 1122 1343 1422 1506 1683 1738 2133 2259 2607 2686 2761 3366 4029 4266 4267 4518 5049 5214 5522 6777 7821 8058 8283 8534 10098 12087 12801 13554 14773 15642 16566 19829 23463 24174 24849 25602 29546 36261 38403 39658 44319 46926 46937 49698 59487 72522 74547 76806 88638 93874 115209 118974 132957 140811 149094 178461 218119 230418 265914 281622 337093 356922 398871 422433 436238 535383 654357 674186 797742 844866 1011279 1070766 1267299 1308714 1963071 2022558 2534598 3033837 3708023 3926142 5889213 6067674 7416046 9101511 11124069 11778426 18203022 22248138 33372207 66744414 100116621 200233242