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242210240 = 2652332909
BaseRepresentation
bin11100110111111…
…01010111000000
3121212202112222122
432123331113000
5444001211430
640011223412
76000516206
oct1633752700
9555675878
10242210240
111147a3158
1269147b68
133b245b8c
142424d076
15163e5ee5
hexe6fd5c0

242210240 has 56 divisors (see below), whose sum is σ = 601858080. Its totient is φ = 92668928.

The previous prime is 242210219. The next prime is 242210299. The reversal of 242210240 is 42012242.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9095 + ... + 23814.

Almost surely, 2242210240 is an apocalyptic number.

242210240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242210240 is an abundant number, since it is smaller than the sum of its proper divisors (359647840).

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

242210240 is a wasteful number, since it uses less digits than its factorization.

242210240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32949 (or 32939 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 242210240 is about 15563.1050886383. The cubic root of 242210240 is about 623.3483774064.

Adding to 242210240 its reverse (42012242), we get a palindrome (284222482).

The spelling of 242210240 in words is "two hundred forty-two million, two hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1472 1840 3680 7360 32909 65818 131636 164545 263272 329090 526544 658180 756907 1053088 1316360 1513814 2106176 2632720 3027628 3784535 5265440 6055256 7569070 10530880 12110512 15138140 24221024 30276280 48442048 60552560 121105120 242210240