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242230120 = 235113714879
BaseRepresentation
bin11100111000000…
…10001101101000
3121212210120020221
432130002031220
5444002330440
640011455424
76000631156
oct1634021550
9555716227
10242230120
11114807090
1269157574
133b251c42
14242563d6
15163ebd4a
hexe702368

242230120 has 64 divisors (see below), whose sum is σ = 610675200. Its totient is φ = 85697280.

The previous prime is 242230097. The next prime is 242230141. The reversal of 242230120 is 21032242.

It is a junction number, because it is equal to n+sod(n) for n = 242230094 and 242230103.

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, 8841 + ... + 23719.

It is an arithmetic number, because the mean of its divisors is an integer number (9541800).

Almost surely, 2242230120 is an apocalyptic number.

242230120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305337600).

242230120 is an abundant number, since it is smaller than the sum of its proper divisors (368445080).

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

242230120 is a wasteful number, since it uses less digits than its factorization.

242230120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14938 (or 14934 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 242230120 is about 15563.7437655598. The cubic root of 242230120 is about 623.3654312226.

Adding to 242230120 its reverse (21032242), we get a palindrome (263262362).

The spelling of 242230120 in words is "two hundred forty-two million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 74 88 110 148 185 220 296 370 407 440 740 814 1480 1628 2035 3256 4070 8140 14879 16280 29758 59516 74395 119032 148790 163669 297580 327338 550523 595160 654676 818345 1101046 1309352 1636690 2202092 2752615 3273380 4404184 5505230 6055753 6546760 11010460 12111506 22020920 24223012 30278765 48446024 60557530 121115060 242230120