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2234220340 = 2251119751551
BaseRepresentation
bin1000010100101011…
…0111111100110100
312202201002011010111
42011022313330310
514033430022330
61005411032404
7106236362632
oct20512677464
95681064114
102234220340
11a471828a0
1252429b704
13297b53591
14172a28352
15d122b32a
hex852b7f34

2234220340 has 48 divisors (see below), whose sum is σ = 5144477184. Its totient is φ = 808304000.

The previous prime is 2234220337. The next prime is 2234220361. The reversal of 2234220340 is 430224322.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 17565 + ... + 69115.

It is an arithmetic number, because the mean of its divisors is an integer number (107176608).

Almost surely, 22234220340 is an apocalyptic number.

2234220340 is a gapful number since it is divisible by the number (20) 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 2234220340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572238592).

2234220340 is an abundant number, since it is smaller than the sum of its proper divisors (2910256844).

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

2234220340 is a wasteful number, since it uses less digits than its factorization.

2234220340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51768 (or 51766 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 2234220340 is about 47267.5400248416. The cubic root of 2234220340 is about 1307.3002184437.

Adding to 2234220340 its reverse (430224322), we get a palindrome (2664444662).

The spelling of 2234220340 in words is "two billion, two hundred thirty-four million, two hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 197 220 394 788 985 1970 2167 3940 4334 8668 10835 21670 43340 51551 103102 206204 257755 515510 567061 1031020 1134122 2268244 2835305 5670610 10155547 11341220 20311094 40622188 50777735 101555470 111711017 203110940 223422034 446844068 558555085 1117110170 2234220340