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241422120 = 23345269277
BaseRepresentation
bin11100110001111…
…00111100101000
3121211021111220000
432120330330220
5443301001440
635542303000
75661024402
oct1630747450
9554244800
10241422120
11114305015
1268a27a60
133b02b234
14240c5b72
15162dc730
hexe63cf28

241422120 has 160 divisors (see below), whose sum is σ = 817403400. Its totient is φ = 63908352.

The previous prime is 241422109. The next prime is 241422131. The reversal of 241422120 is 21224142.

241422120 is a `hidden beast` number, since 241 + 422 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (241422109) and next prime (241422131).

It can be written as a sum of positive squares in 4 ways, for example, as 92044836 + 149377284 = 9594^2 + 12222^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 241422093 and 241422102.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 871422 + ... + 871698.

Almost surely, 2241422120 is an apocalyptic number.

241422120 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 241422120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408701700).

241422120 is an abundant number, since it is smaller than the sum of its proper divisors (575981280).

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

241422120 is a wasteful number, since it uses less digits than its factorization.

241422120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 241422120 is about 15537.7643179448. The cubic root of 241422120 is about 622.6715451159.

Adding to 241422120 its reverse (21224142), we get a palindrome (262646262).

It can be divided in two parts, 24142 and 2120, that added together give a palindrome (26262).

The spelling of 241422120 in words is "two hundred forty-one million, four hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 269 270 277 324 360 405 538 540 554 648 807 810 831 1076 1080 1108 1345 1385 1614 1620 1662 2152 2216 2421 2493 2690 2770 3228 3240 3324 4035 4155 4842 4986 5380 5540 6456 6648 7263 7479 8070 8310 9684 9972 10760 11080 12105 12465 14526 14958 16140 16620 19368 19944 21789 22437 24210 24930 29052 29916 32280 33240 36315 37395 43578 44874 48420 49860 58104 59832 72630 74513 74790 87156 89748 96840 99720 108945 112185 145260 149026 149580 174312 179496 217890 223539 224370 290520 298052 299160 372565 435780 447078 448740 596104 670617 745130 871560 894156 897480 1117695 1341234 1490260 1788312 2011851 2235390 2682468 2980520 3353085 4023702 4470780 5364936 6035553 6706170 8047404 8941560 10059255 12071106 13412340 16094808 20118510 24142212 26824680 30177765 40237020 48284424 60355530 80474040 120711060 241422120