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2214313224 = 2332314232819
BaseRepresentation
bin1000001111111011…
…1011110100001000
312201022121202200220
42003332323310020
514013331010344
61003420230040
7105605231454
oct20376736410
95638552626
102214313224
11a36a16332
1251969b320
132939a3516
14170125664
15ce5e7c19
hex83fbbd08

2214313224 has 64 divisors (see below), whose sum is σ = 5782579200. Its totient is φ = 705266496.

The previous prime is 2214313207. The next prime is 2214313243. The reversal of 2214313224 is 4223134122.

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 = 2214313194 and 2214313203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 784087 + ... + 786905.

It is an arithmetic number, because the mean of its divisors is an integer number (90352800).

Almost surely, 22214313224 is an apocalyptic number.

2214313224 is a gapful number since it is divisible by the number (24) 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 2214313224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2891289600).

2214313224 is an abundant number, since it is smaller than the sum of its proper divisors (3568265976).

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

2214313224 is a wasteful number, since it uses less digits than its factorization.

2214313224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4274 (or 4270 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 2214313224 is about 47056.4897118346. The cubic root of 2214313224 is about 1303.4059060604.

Adding to 2214313224 its reverse (4223134122), we get a palindrome (6437447346).

The spelling of 2214313224 in words is "two billion, two hundred fourteen million, three hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 1423 2819 2846 4269 5638 5692 8457 8538 11276 11384 16914 17076 22552 32729 33828 34152 64837 65458 67656 98187 129674 130916 194511 196374 259348 261832 389022 392748 518696 778044 785496 1556088 4011437 8022874 12034311 16045748 24068622 32091496 48137244 92263051 96274488 184526102 276789153 369052204 553578306 738104408 1107156612 2214313224