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10233212440 = 23511235319079
BaseRepresentation
bin10011000011111001…
…00110111000011000
3222102011121001110011
421201330212320120
5131424200244230
64411233131304
7511405604413
oct114174467030
928364531404
1010233212440
114381421a70
121b970b9b34
13c711029b9
146d110cb7a
153ed5c7e2a
hex261f26e18

10233212440 has 128 divisors (see below), whose sum is σ = 26705894400. Its totient is φ = 3492037120.

The previous prime is 10233212419. The next prime is 10233212443. The reversal of 10233212440 is 4421233201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10233212443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 526821 + ... + 545899.

It is an arithmetic number, because the mean of its divisors is an integer number (208639800).

Almost surely, 210233212440 is an apocalyptic number.

10233212440 is a gapful number since it is divisible by the number (10) 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 10233212440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13352947200).

10233212440 is an abundant number, since it is smaller than the sum of its proper divisors (16472681960).

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

10233212440 is a wasteful number, since it uses less digits than its factorization.

10233212440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19177 (or 19173 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10233212440 its reverse (4421233201), we get a palindrome (14654445641).

The spelling of 10233212440 in words is "ten billion, two hundred thirty-three million, two hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 53 55 88 92 106 110 115 184 212 220 230 253 265 424 440 460 506 530 583 920 1012 1060 1166 1219 1265 2024 2120 2332 2438 2530 2915 4664 4876 5060 5830 6095 9752 10120 11660 12190 13409 19079 23320 24380 26818 38158 48760 53636 67045 76316 95395 107272 134090 152632 190790 209869 268180 381580 419738 438817 536360 763160 839476 877634 1011187 1049345 1678952 1755268 2022374 2098690 2194085 3510536 4044748 4197380 4388170 4826987 5055935 8089496 8394760 8776340 9653974 10111870 11123057 17552680 19307948 20223740 22246114 23257301 24134935 38615896 40447480 44492228 46514602 48269870 55615285 88984456 93029204 96539740 111230570 116286505 186058408 193079480 222461140 232573010 255830311 444922280 465146020 511660622 930292040 1023321244 1279151555 2046642488 2558303110 5116606220 10233212440