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2422368 = 253213647
BaseRepresentation
bin1001001111011001100000
311120001212100
421033121200
51110003433
6123530400
726406204
oct11173140
94501770
102422368
111404a63
12989a00
1366a770
14470b04
1532cb13
hex24f660

2422368 has 72 divisors (see below), whose sum is σ = 7429968. Its totient is φ = 744192.

The previous prime is 2422351. The next prime is 2422369. The reversal of 2422368 is 8632242.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2422369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3421 + ... + 4067.

It is an arithmetic number, because the mean of its divisors is an integer number (103194).

22422368 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 2422368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714984).

2422368 is an abundant number, since it is smaller than the sum of its proper divisors (5007600).

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

2422368 is a wasteful number, since it uses less digits than its factorization.

2422368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 665 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 2422368 is about 1556.3958365403. The cubic root of 2422368 is about 134.3012454821.

The spelling of 2422368 in words is "two million, four hundred twenty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 647 936 1248 1294 1872 1941 2588 3744 3882 5176 5823 7764 8411 10352 11646 15528 16822 20704 23292 25233 31056 33644 46584 50466 62112 67288 75699 93168 100932 134576 151398 186336 201864 269152 302796 403728 605592 807456 1211184 2422368