Search a number
-
+
233403302040 = 233561214314879
BaseRepresentation
bin1101100101011111101…
…0111100000010011000
3211022110021111020121020
43121113322330002120
512311002221131130
6255120214442440
722601644222146
oct3312772740230
9738407436536
10233403302040
118aa93096447
123929a363420
13190187c505c
14b422516596
156110c58e10
hex3657ebc098

233403302040 has 128 divisors (see below), whose sum is σ = 712068710400. Its totient is φ = 61187857920.

The previous prime is 233403302009. The next prime is 233403302053. The reversal of 233403302040 is 40203304332.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 233403302040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15679321 + ... + 15694199.

It is an arithmetic number, because the mean of its divisors is an integer number (5563036800).

Almost surely, 2233403302040 is an apocalyptic number.

233403302040 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 233403302040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356034355200).

233403302040 is an abundant number, since it is smaller than the sum of its proper divisors (478665408360).

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

233403302040 is a wasteful number, since it uses less digits than its factorization.

233403302040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17097 (or 17093 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 233403302040 its reverse (40203304332), we get a palindrome (273606606372).

The spelling of 233403302040 in words is "two hundred thirty-three billion, four hundred three million, three hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 366 488 610 732 915 1220 1464 1830 2143 2440 3660 4286 6429 7320 8572 10715 12858 14879 17144 21430 25716 29758 32145 42860 44637 51432 59516 64290 74395 85720 89274 119032 128580 130723 148790 178548 223185 257160 261446 297580 357096 392169 446370 522892 595160 653615 784338 892740 907619 1045784 1307230 1568676 1785480 1815238 1960845 2614460 2722857 3137352 3630476 3921690 4538095 5228920 5445714 7260952 7843380 9076190 10891428 13614285 15686760 18152380 21782856 27228570 31885697 36304760 54457140 63771394 95657091 108914280 127542788 159428485 191314182 255085576 318856970 382628364 478285455 637713940 765256728 956570910 1275427880 1913141820 1945027517 3826283640 3890055034 5835082551 7780110068 9725137585 11670165102 15560220136 19450275170 23340330204 29175412755 38900550340 46680660408 58350825510 77801100680 116701651020 233403302040