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241461220 = 2257211131723
BaseRepresentation
bin11100110010001…
…10011111100100
3121211100111112011
432121012133210
5443303224340
635543204004
75661246400
oct1631063744
9554314464
10241461220
11114331430
1268a46604
133b042c80
14240d6100
15162e90ea
hexe6467e4

241461220 has 144 divisors (see below), whose sum is σ = 693379008. Its totient is φ = 69431040.

The previous prime is 241461179. The next prime is 241461239. The reversal of 241461220 is 22164142.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 241461191 and 241461200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139279 + ... + 141001.

It is an arithmetic number, because the mean of its divisors is an integer number (4815132).

Almost surely, 2241461220 is an apocalyptic number.

241461220 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 241461220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346689504).

241461220 is an abundant number, since it is smaller than the sum of its proper divisors (451917788).

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

241461220 is a wasteful number, since it uses less digits than its factorization.

241461220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 241461220 is about 15539.0224917786. The cubic root of 241461220 is about 622.7051586378.

The spelling of 241461220 in words is "two hundred forty-one million, four hundred sixty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 49 52 55 65 70 77 91 98 110 130 140 143 154 182 196 220 245 260 286 308 364 385 455 490 539 572 637 715 770 910 980 1001 1078 1274 1430 1540 1723 1820 2002 2156 2548 2695 2860 3185 3446 4004 5005 5390 6370 6892 7007 8615 10010 10780 12061 12740 14014 17230 18953 20020 22399 24122 28028 34460 35035 37906 44798 48244 60305 70070 75812 84427 89596 94765 111995 120610 132671 140140 156793 168854 189530 223990 241220 246389 265342 313586 337708 379060 422135 447980 492778 530684 627172 663355 783965 844270 928697 985556 1097551 1231945 1326710 1567930 1688540 1724723 1857394 2195102 2463890 2653420 3135860 3449446 3714788 4390204 4643485 4927780 5487755 6898892 8623615 9286970 10975510 12073061 17247230 18573940 21951020 24146122 34494460 48292244 60365305 120730610 241461220