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241420300 = 2252114153101
BaseRepresentation
bin11100110001111…
…00100000001100
3121211021102101121
432120330200030
5443300422200
635542250324
75661016162
oct1630744014
9554242347
10241420300
11114303710
1268a269a4
133b02a464
14240c5232
15162dbe1a
hexe63c80c

241420300 has 144 divisors (see below), whose sum is σ = 602398944. Its totient is φ = 83200000.

The previous prime is 241420297. The next prime is 241420303. The reversal of 241420300 is 3024142.

It is an interprime number because it is at equal distance from previous prime (241420297) and next prime (241420303).

It is a super-2 number, since 2×2414203002 = 116567522504180000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241420303) 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, 2390250 + ... + 2390350.

It is an arithmetic number, because the mean of its divisors is an integer number (4183326).

Almost surely, 2241420300 is an apocalyptic number.

241420300 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 241420300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301199472).

241420300 is an abundant number, since it is smaller than the sum of its proper divisors (360978644).

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

241420300 is a wasteful number, since it uses less digits than its factorization.

241420300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 213 counting only the distinct ones).

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

The square root of 241420300 is about 15537.7057508501. The cubic root of 241420300 is about 622.6699804083.

Adding to 241420300 its reverse (3024142), we get a palindrome (244444442).

The spelling of 241420300 in words is "two hundred forty-one million, four hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 53 55 82 100 101 106 110 164 202 205 212 220 265 275 404 410 451 505 530 550 583 820 902 1010 1025 1060 1100 1111 1166 1325 1804 2020 2050 2173 2222 2255 2332 2525 2650 2915 4100 4141 4346 4444 4510 5050 5300 5353 5555 5830 8282 8692 9020 10100 10706 10865 11110 11275 11660 14575 16564 20705 21412 21730 22220 22550 23903 26765 27775 29150 41410 43460 45100 45551 47806 53530 54325 55550 58300 58883 82820 91102 95612 103525 107060 108650 111100 117766 119515 133825 182204 207050 217300 219473 227755 235532 239030 267650 294415 414100 438946 455510 478060 535300 588830 597575 877892 911020 1097365 1138775 1177660 1195150 1472075 2194730 2277550 2390300 2414203 2944150 4389460 4555100 4828406 5486825 5888300 9656812 10973650 12071015 21947300 24142030 48284060 60355075 120710150 241420300