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233031040 = 2751179419
BaseRepresentation
bin11011110001111…
…00010110000000
3121020111012111021
431320330112000
5434123443130
635042355224
75526505534
oct1570742600
9536435437
10233031040
1110a5a3740
126605bb14
1339380ab8
1422d3dbc4
15156d137a
hexde3c580

233031040 has 128 divisors (see below), whose sum is σ = 616896000. Its totient is φ = 83466240.

The previous prime is 233031031. The next prime is 233031047. The reversal of 233031040 is 40130332.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233031047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 555951 + ... + 556369.

It is an arithmetic number, because the mean of its divisors is an integer number (4819500).

Almost surely, 2233031040 is an apocalyptic number.

233031040 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 233031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308448000).

233031040 is an abundant number, since it is smaller than the sum of its proper divisors (383864960).

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

233031040 is a wasteful number, since it uses less digits than its factorization.

233031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 233031040 is about 15265.3542376193. The cubic root of 233031040 is about 615.3722733422.

Adding to 233031040 its reverse (40130332), we get a palindrome (273161372).

The spelling of 233031040 in words is "two hundred thirty-three million, thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 79 80 88 110 128 158 160 176 220 316 320 352 395 419 440 632 640 704 790 838 869 880 1264 1408 1580 1676 1738 1760 2095 2528 3160 3352 3476 3520 4190 4345 4609 5056 6320 6704 6952 7040 8380 8690 9218 10112 12640 13408 13904 16760 17380 18436 23045 25280 26816 27808 33101 33520 34760 36872 46090 50560 53632 55616 66202 67040 69520 73744 92180 111232 132404 134080 139040 147488 165505 184360 264808 268160 278080 294976 331010 364111 368720 529616 556160 589952 662020 728222 737440 1059232 1324040 1456444 1474880 1820555 2118464 2648080 2912888 2949760 3641110 4236928 5296160 5825776 7282220 10592320 11651552 14564440 21184640 23303104 29128880 46606208 58257760 116515520 233031040