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242220240 = 24335112139
BaseRepresentation
bin11100110111111…
…11110011010000
3121212210001201000
432123333303100
5444002021430
640011342000
76000560313
oct1633776320
9555701630
10242220240
111147aa719
1269151900
133b24a5b2
142425297a
15163e8e60
hexe6ffcd0

242220240 has 80 divisors (see below), whose sum is σ = 834321600. Its totient is φ = 64591488.

The previous prime is 242220239. The next prime is 242220257. The reversal of 242220240 is 42022242.

242220240 is a `hidden beast` number, since 2 + 422 + 2 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53910 + ... + 58229.

It is an arithmetic number, because the mean of its divisors is an integer number (10429020).

Almost surely, 2242220240 is an apocalyptic number.

242220240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242220240 is an abundant number, since it is smaller than the sum of its proper divisors (592101360).

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

242220240 is a wasteful number, since it uses less digits than its factorization.

242220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112161 (or 112149 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 242220240 is about 15563.4263579714. The cubic root of 242220240 is about 623.3569559014.

Adding to 242220240 its reverse (42022242), we get a palindrome (284242482).

It can be divided in two parts, 2422202 and 40, that added together give a palindrome (2422242).

The spelling of 242220240 in words is "two hundred forty-two million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 112139 224278 336417 448556 560695 672834 897112 1009251 1121390 1345668 1682085 1794224 2018502 2242780 2691336 3027753 3364170 4037004 4485560 5046255 5382672 6055506 6728340 8074008 8971120 10092510 12111012 13456680 15138765 16148016 20185020 24222024 26913360 30277530 40370040 48444048 60555060 80740080 121110120 242220240