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2421142224 = 2431273891021
BaseRepresentation
bin1001000001001111…
…1011001011010000
320020201210202202020
42100103323023100
514424303022344
61040125251440
7113666240454
oct22023731320
96221722666
102421142224
111032742a96
12576a03b80
132c77abc47
1418d7a4664
15e2850719
hex904fb2d0

2421142224 has 80 divisors (see below), whose sum is σ = 6326261760. Its totient is φ = 797852160.

The previous prime is 2421142223. The next prime is 2421142267. The reversal of 2421142224 is 4222411242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2421142194 and 2421142203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2421142223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2370834 + ... + 2371854.

It is an arithmetic number, because the mean of its divisors is an integer number (79078272).

Almost surely, 22421142224 is an apocalyptic number.

2421142224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2421142224 is an abundant number, since it is smaller than the sum of its proper divisors (3905119536).

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

2421142224 is a wasteful number, since it uses less digits than its factorization.

2421142224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1542 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 2421142224 is about 49205.1036377325. The cubic root of 2421142224 is about 1342.7858844854.

Adding to 2421142224 its reverse (4222411242), we get a palindrome (6643553466).

The spelling of 2421142224 in words is "two billion, four hundred twenty-one million, one hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 127 254 381 389 508 762 778 1016 1021 1167 1524 1556 2032 2042 2334 3048 3063 3112 4084 4668 6096 6126 6224 8168 9336 12252 16336 18672 24504 49008 49403 98806 129667 148209 197612 259334 296418 389001 395224 397169 518668 592836 778002 790448 794338 1037336 1185672 1191507 1556004 1588676 2074672 2371344 2383014 3112008 3177352 4766028 6224016 6354704 9532056 19064112 50440463 100880926 151321389 201761852 302642778 403523704 605285556 807047408 1210571112 2421142224