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241221420 = 2232511294201
BaseRepresentation
bin11100110000010…
…11111100101100
3121210220022120200
432120023330230
5443223041140
635534113500
75656230306
oct1630137454
9553808520
10241221420
11114188250
126894b890
133ac8aa8b
1424072976
151629d030
hexe60bf2c

241221420 has 144 divisors (see below), whose sum is σ = 825945120. Its totient is φ = 56448000.

The previous prime is 241221413. The next prime is 241221427. The reversal of 241221420 is 24122142.

241221420 is a `hidden beast` number, since 24 + 1 + 221 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (241221413) and next prime (241221427).

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 = 241221393 and 241221402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241221427) 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, 55320 + ... + 59520.

It is an arithmetic number, because the mean of its divisors is an integer number (5735730).

Almost surely, 2241221420 is an apocalyptic number.

241221420 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 241221420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412972560).

241221420 is an abundant number, since it is smaller than the sum of its proper divisors (584723700).

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

241221420 is a wasteful number, since it uses less digits than its factorization.

241221420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4256 (or 4251 counting only the distinct ones).

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

The square root of 241221420 is about 15531.3045170069. The cubic root of 241221420 is about 622.4989500152.

Adding to 241221420 its reverse (24122142), we get a palindrome (265343562).

It can be divided in two parts, 2412 and 21420, that added together give a palindrome (23832).

The spelling of 241221420 in words is "two hundred forty-one million, two hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 29 30 33 36 44 45 55 58 60 66 87 90 99 110 116 132 145 165 174 180 198 220 261 290 319 330 348 396 435 495 522 580 638 660 870 957 990 1044 1276 1305 1595 1740 1914 1980 2610 2871 3190 3828 4201 4785 5220 5742 6380 8402 9570 11484 12603 14355 16804 19140 21005 25206 28710 37809 42010 46211 50412 57420 63015 75618 84020 92422 121829 126030 138633 151236 184844 189045 231055 243658 252060 277266 365487 378090 415899 462110 487316 554532 609145 693165 730974 756180 831798 924220 1096461 1218290 1340119 1386330 1461948 1663596 1827435 2079495 2192922 2436580 2680238 2772660 3654870 4020357 4158990 4385844 5360476 5482305 6700595 7309740 8040714 8317980 10964610 12061071 13401190 16081428 20101785 21929220 24122142 26802380 40203570 48244284 60305355 80407140 120610710 241221420