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2421216 = 253271201
BaseRepresentation
bin1001001111000111100000
311120000021200
421033013200
51104434331
6123521200
726402640
oct11170740
94500250
102421216
111404106
12989200
1366a095
14470520
1532c5e6
hex24f1e0

2421216 has 72 divisors (see below), whose sum is σ = 7875504. Its totient is φ = 691200.

The previous prime is 2421203. The next prime is 2421229. The reversal of 2421216 is 6121242.

It is an interprime number because it is at equal distance from previous prime (2421203) and next prime (2421229).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1416 + ... + 2616.

It is an arithmetic number, because the mean of its divisors is an integer number (109382).

22421216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2421216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937752).

2421216 is an abundant number, since it is smaller than the sum of its proper divisors (5454288).

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

2421216 is a wasteful number, since it uses less digits than its factorization.

2421216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1213 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 2421216 is about 1556.0257067285. The cubic root of 2421216 is about 134.2799523277.

Adding to 2421216 its reverse (6121242), we get a palindrome (8542458).

The spelling of 2421216 in words is "two million, four hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1201 2016 2402 3603 4804 7206 8407 9608 10809 14412 16814 19216 21618 25221 28824 33628 38432 43236 50442 57648 67256 75663 86472 100884 115296 134512 151326 172944 201768 269024 302652 345888 403536 605304 807072 1210608 2421216