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240422325 = 352111329773
BaseRepresentation
bin11100101010010…
…00110110110101
3121202101201102120
432111020312311
5443022003300
635505030153
75646361503
oct1625106665
9552351376
10240422325
11113791940
1268625359
133aa6b140
1423d05673
15161913a0
hexe548db5

240422325 has 96 divisors (see below), whose sum is σ = 483719040. Its totient is φ = 103756800.

The previous prime is 240422191. The next prime is 240422327. The reversal of 240422325 is 523224042.

It is a happy number.

It is not a de Polignac number, because 240422325 - 211 = 240420277 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 240422295 and 240422304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240422327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 310639 + ... + 311411.

It is an arithmetic number, because the mean of its divisors is an integer number (5038740).

Almost surely, 2240422325 is an apocalyptic number.

240422325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

240422325 is an abundant number, since it is smaller than the sum of its proper divisors (243296715).

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

240422325 is a wasteful number, since it uses less digits than its factorization.

240422325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 240422325 is about 15505.5578745171. The cubic root of 240422325 is about 621.8108048008.

Adding to 240422325 its reverse (523224042), we get a palindrome (763646367).

The spelling of 240422325 in words is "two hundred forty million, four hundred twenty-two thousand, three hundred twenty-five".

Divisors: 1 3 5 11 13 15 25 29 33 39 55 65 75 87 143 145 165 195 275 319 325 377 429 435 715 725 773 825 957 975 1131 1595 1885 2145 2175 2319 3575 3865 4147 4785 5655 7975 8503 9425 10049 10725 11595 12441 19325 20735 22417 23925 25509 28275 30147 42515 50245 57975 62205 67251 103675 110539 112085 127545 150735 212575 246587 251225 291421 311025 331617 336255 552695 560425 637725 739761 753675 874263 1232935 1457105 1658085 1681275 2763475 3205631 3698805 4371315 6164675 7285525 8290425 9616893 16028155 18494025 21856575 48084465 80140775 240422325