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240224130 = 23451571889
BaseRepresentation
bin11100101000110…
…00011110000010
3121202000122120000
432110120132002
5442444133010
635500500430
75644604616
oct1624303602
9552018500
10240224130
11113666a43
126854a716
133a9cbb73
1423c93346
15161527c0
hexe518782

240224130 has 80 divisors (see below), whose sum is σ = 650394360. Its totient is φ = 63618048.

The previous prime is 240224129. The next prime is 240224137. The reversal of 240224130 is 31422042.

It can be written as a sum of positive squares in 4 ways, for example, as 168194961 + 72029169 = 12969^2 + 8487^2 .

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

It is not an unprimeable number, because it can be changed into a prime (240224137) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 126226 + ... + 128114.

Almost surely, 2240224130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240224130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325197180).

240224130 is an abundant number, since it is smaller than the sum of its proper divisors (410170230).

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

240224130 is a wasteful number, since it uses less digits than its factorization.

240224130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 240224130 is about 15499.1654614047. The cubic root of 240224130 is about 621.6398921194.

Adding to 240224130 its reverse (31422042), we get a palindrome (271646172).

The spelling of 240224130 in words is "two hundred forty million, two hundred twenty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 157 162 270 314 405 471 785 810 942 1413 1570 1889 2355 2826 3778 4239 4710 5667 7065 8478 9445 11334 12717 14130 17001 18890 21195 25434 28335 34002 42390 51003 56670 63585 85005 102006 127170 153009 170010 255015 296573 306018 510030 593146 765045 889719 1482865 1530090 1779438 2669157 2965730 4448595 5338314 8007471 8897190 13345785 16014942 24022413 26691570 40037355 48044826 80074710 120112065 240224130