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240113214 = 233112953263
BaseRepresentation
bin11100100111111…
…01011000111110
3121201211000102000
432103331120332
5442432110324
635454243130
75643633345
oct1623753076
9551730360
10240113214
111135a0680
12684b64a6
133a990533
1423c64b5c
151612e9c9
hexe4fd63e

240113214 has 128 divisors (see below), whose sum is σ = 615859200. Its totient is φ = 68664960.

The previous prime is 240113213. The next prime is 240113221. The reversal of 240113214 is 412311042.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240113213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 912847 + ... + 913109.

It is an arithmetic number, because the mean of its divisors is an integer number (4811400).

Almost surely, 2240113214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240113214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307929600).

240113214 is an abundant number, since it is smaller than the sum of its proper divisors (375745986).

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

240113214 is a wasteful number, since it uses less digits than its factorization.

240113214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 240113214 is about 15495.5869201525. The cubic root of 240113214 is about 621.5442031132.

Adding to 240113214 its reverse (412311042), we get a palindrome (652424256).

It can be divided in two parts, 24011 and 3214, that added together give a square (27225 = 1652).

The spelling of 240113214 in words is "two hundred forty million, one hundred thirteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 53 54 58 66 87 99 106 159 174 198 261 263 297 318 319 477 522 526 583 594 638 783 789 954 957 1166 1431 1537 1566 1578 1749 1914 2367 2862 2871 2893 3074 3498 4611 4734 5247 5742 5786 7101 7627 8613 8679 9222 10494 13833 13939 14202 15254 15741 16907 17226 17358 22881 26037 27666 27878 31482 33814 41499 41817 45762 50721 52074 68643 78111 82998 83634 83897 101442 125451 137286 152163 153329 156222 167794 205929 250902 251691 304326 306658 376353 404231 411858 456489 459987 503382 752706 755073 808462 912978 919974 1212693 1379961 1510146 2265219 2425386 2759922 3638079 4139883 4446541 4530438 7276158 8279766 8893082 10914237 13339623 21828474 26679246 40018869 80037738 120056607 240113214