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242225060 = 225711279181
BaseRepresentation
bin11100111000000…
…00111110100100
3121212210022022112
432130000332210
5444002200220
640011420152
76000610340
oct1634007644
9555708275
10242225060
11114803300
1269154658
133b24c84c
1424254620
15163ea5c5
hexe700fa4

242225060 has 144 divisors (see below), whose sum is σ = 650657280. Its totient is φ = 74131200.

The previous prime is 242225059. The next prime is 242225069. The reversal of 242225060 is 60522242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242225069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1338170 + ... + 1338350.

Almost surely, 2242225060 is an apocalyptic number.

242225060 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 242225060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325328640).

242225060 is an abundant number, since it is smaller than the sum of its proper divisors (408432220).

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

242225060 is a wasteful number, since it uses less digits than its factorization.

242225060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 242225060 is about 15563.5812074214. The cubic root of 242225060 is about 623.3610906517.

The spelling of 242225060 in words is "two hundred forty-two million, two hundred twenty-five thousand, sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 79 110 121 140 154 158 181 220 242 308 316 362 385 395 484 553 605 724 770 790 847 869 905 1106 1210 1267 1540 1580 1694 1738 1810 1991 2212 2420 2534 2765 3388 3476 3620 3982 4235 4345 5068 5530 6083 6335 7964 8470 8690 9559 9955 11060 12166 12670 13937 14299 16940 17380 19118 19910 21901 24332 25340 27874 28598 30415 38236 39820 43802 47795 55748 57196 60830 66913 69685 71495 87604 95590 100093 109505 121660 133826 139370 142990 153307 157289 191180 200186 219010 267652 278740 285980 306614 314578 334565 400372 438020 500465 613228 629156 669130 766535 786445 1000930 1101023 1338260 1533070 1572890 1730179 2001860 2202046 3066140 3145780 3460358 4404092 5505115 6920716 8650895 11010230 12111253 17301790 22020460 24222506 34603580 48445012 60556265 121112530 242225060