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2400222 = 231141887
BaseRepresentation
bin1001001001111111011110
311111221111010
421021333132
51103301342
6123240050
726254506
oct11117736
94457433
102400222
11139a360
12979026
13660666
14466a06
1532629c
hex249fde

2400222 has 32 divisors (see below), whose sum is σ = 5370624. Its totient is φ = 708800.

The previous prime is 2400221. The next prime is 2400253. The reversal of 2400222 is 2220042.

It is a happy number.

It is a super-2 number, since 2×24002222 = 11522131298568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2400198 and 2400207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400221) 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, 2263 + ... + 3149.

It is an arithmetic number, because the mean of its divisors is an integer number (167832).

22400222 is an apocalyptic number.

2400222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2400222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685312).

2400222 is an abundant number, since it is smaller than the sum of its proper divisors (2970402).

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

2400222 is a wasteful number, since it uses less digits than its factorization.

2400222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944.

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2400222 is about 1549.2649870180. The cubic root of 2400222 is about 133.8907180590.

Adding to 2400222 its reverse (2220042), we get a palindrome (4620264).

The spelling of 2400222 in words is "two million, four hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 887 902 1353 1774 2661 2706 5322 9757 19514 29271 36367 58542 72734 109101 218202 400037 800074 1200111 2400222