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242324250 = 23537101457
BaseRepresentation
bin11100111000110…
…01001100011010
3121212222100101020
432130121030122
5444013334000
640013503310
76001502460
oct1634311432
9555870336
10242324250
11114870883
12691a1b36
133b285a3c
142427c830
1516419ba0
hexe71931a

242324250 has 128 divisors (see below), whose sum is σ = 699618816. Its totient is φ = 54720000.

The previous prime is 242324197. The next prime is 242324267. The reversal of 242324250 is 52423242.

It is a happy number.

242324250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 242324250.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 530022 + ... + 530478.

It is an arithmetic number, because the mean of its divisors is an integer number (5465772).

Almost surely, 2242324250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242324250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349809408).

242324250 is an abundant number, since it is smaller than the sum of its proper divisors (457294566).

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

242324250 is a wasteful number, since it uses less digits than its factorization.

242324250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 575 counting only the distinct ones).

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

The square root of 242324250 is about 15566.7674871824. The cubic root of 242324250 is about 623.4461668320.

Adding to 242324250 its reverse (52423242), we get a palindrome (294747492).

It can be divided in two parts, 24232 and 4250, that added together give a palindrome (28482).

The spelling of 242324250 in words is "two hundred forty-two million, three hundred twenty-four thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 101 105 125 150 175 202 210 250 303 350 375 457 505 525 606 707 750 875 914 1010 1050 1371 1414 1515 1750 2121 2285 2525 2625 2742 3030 3199 3535 4242 4570 5050 5250 6398 6855 7070 7575 9597 10605 11425 12625 13710 15150 15995 17675 19194 21210 22850 25250 31990 34275 35350 37875 46157 47985 53025 57125 68550 75750 79975 88375 92314 95970 106050 114250 138471 159950 171375 176750 230785 239925 265125 276942 323099 342750 399875 461570 479850 530250 646198 692355 799750 969297 1153925 1199625 1384710 1615495 1938594 2307850 2399250 3230990 3461775 4846485 5769625 6923550 8077475 9692970 11539250 16154950 17308875 24232425 34617750 40387375 48464850 80774750 121162125 242324250