Search a number
-
+
233031330 = 2345773563
BaseRepresentation
bin11011110001111…
…00011010100010
3121020111012220000
431320330122202
5434124000310
635042400430
75526506430
oct1570743242
9536435800
10233031330
1110a5a3984
1266060116
1339380c7c
1422d3dd50
15156d14c0
hexde3c6a2

233031330 has 160 divisors (see below), whose sum is σ = 727208064. Its totient is φ = 52441344.

The previous prime is 233031313. The next prime is 233031343. The reversal of 233031330 is 33130332.

233031330 is a `hidden beast` number, since 2 + 330 + 3 + 1 + 330 = 666.

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 79 ways as a sum of consecutive naturals, for example, 413629 + ... + 414191.

Almost surely, 2233031330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233031330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363604032).

233031330 is an abundant number, since it is smaller than the sum of its proper divisors (494176734).

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

233031330 is a wasteful number, since it uses less digits than its factorization.

233031330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 233031330 is about 15265.3637362495. The cubic root of 233031330 is about 615.3725286128.

Adding to 233031330 its reverse (33130332), we get a palindrome (266161662).

The spelling of 233031330 in words is "two hundred thirty-three million, thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 73 81 90 105 126 135 146 162 189 210 219 270 315 365 378 405 438 511 563 567 630 657 730 810 945 1022 1095 1126 1134 1314 1533 1689 1890 1971 2190 2555 2815 2835 3066 3285 3378 3941 3942 4599 5067 5110 5630 5670 5913 6570 7665 7882 8445 9198 9855 10134 11823 11826 13797 15201 15330 16890 19705 19710 22995 23646 25335 27594 29565 30402 35469 39410 41099 41391 45603 45990 50670 59115 59130 68985 70938 76005 82198 82782 91206 106407 118230 123297 137970 152010 177345 205495 206955 212814 228015 246594 287693 319221 354690 369891 410990 413910 456030 532035 575386 616485 638442 739782 863079 1064070 1109673 1232970 1438465 1596105 1726158 1849455 2219346 2589237 2876930 3192210 3329019 3698910 4315395 5178474 5548365 6658038 7767711 8630790 11096730 12946185 15535422 16645095 23303133 25892370 33290190 38838555 46606266 77677110 116515665 233031330