Search a number
-
+
241422100 = 225217295983
BaseRepresentation
bin11100110001111…
…00111100010100
3121211021111212021
432120330330110
5443301001400
635542302524
75661024343
oct1630747424
9554244767
10241422100
11114304aa7
1268a27a44
133b02b21a
14240c5b5a
15162dc71a
hexe63cf14

241422100 has 144 divisors (see below), whose sum is σ = 590587200. Its totient is φ = 85227520.

The previous prime is 241422089. The next prime is 241422101. The reversal of 241422100 is 1224142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241422101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2908659 + ... + 2908741.

It is an arithmetic number, because the mean of its divisors is an integer number (4101300).

Almost surely, 2241422100 is an apocalyptic number.

241422100 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 241422100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295293600).

241422100 is an abundant number, since it is smaller than the sum of its proper divisors (349165100).

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

241422100 is a wasteful number, since it uses less digits than its factorization.

241422100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 241422100 is about 15537.7636743516. The cubic root of 241422100 is about 622.6715279213.

Adding to 241422100 its reverse (1224142), we get a palindrome (242646242).

The spelling of 241422100 in words is "two hundred forty-one million, four hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 29 34 50 58 59 68 83 85 100 116 118 145 166 170 236 290 295 332 340 415 425 493 580 590 725 830 850 986 1003 1180 1411 1450 1475 1660 1700 1711 1972 2006 2075 2407 2465 2822 2900 2950 3422 4012 4150 4814 4897 4930 5015 5644 5900 6844 7055 8300 8555 9628 9794 9860 10030 12035 12325 14110 17110 19588 20060 24070 24485 24650 25075 28220 29087 34220 35275 40919 42775 48140 48970 49300 50150 58174 60175 70550 81838 83249 85550 97940 100300 116348 120350 122425 141100 142013 145435 163676 166498 171100 204595 240700 244850 284026 290870 332996 409190 416245 489700 568052 581740 710065 727175 818380 832490 1022975 1420130 1454350 1664980 2045950 2081225 2414221 2840260 2908700 3550325 4091900 4162450 4828442 7100650 8324900 9656884 12071105 14201300 24142210 48284420 60355525 120711050 241422100