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2234244312 = 2332173535171
BaseRepresentation
bin1000010100101011…
…1101110011011000
312202201010101000100
42011022331303120
514033431304222
61005411335400
7106236522546
oct20512756330
95681111010
102234244312
11a47199903
125242b1560
13297b61471
14172a32d96
15d12334ac
hex852bdcd8

2234244312 has 96 divisors (see below), whose sum is σ = 6426416880. Its totient is φ = 698818560.

The previous prime is 2234244301. The next prime is 2234244343. The reversal of 2234244312 is 2134424322.

2234244312 is a `hidden beast` number, since 2 + 2 + 342 + 4 + 4 + 312 = 666.

2234244312 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 429487 + ... + 434657.

Almost surely, 22234244312 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 2234244312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3213208440).

2234244312 is an abundant number, since it is smaller than the sum of its proper divisors (4192172568).

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

2234244312 is a wasteful number, since it uses less digits than its factorization.

2234244312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5553 (or 5546 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 2234244312 is about 47267.7936019865. The cubic root of 2234244312 is about 1307.3048939731.

Adding to 2234244312 its reverse (2134424322), we get a palindrome (4368668634).

The spelling of 2234244312 in words is "two billion, two hundred thirty-four million, two hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 353 408 612 706 1059 1224 1412 2118 2824 3177 4236 5171 6001 6354 8472 10342 12002 12708 15513 18003 20684 24004 25416 31026 36006 41368 46539 48008 54009 62052 72012 87907 93078 108018 124104 144024 175814 186156 216036 263721 351628 372312 432072 527442 703256 791163 1054884 1582326 1825363 2109768 3164652 3650726 5476089 6329304 7301452 10952178 14602904 16428267 21904356 31031171 32856534 43808712 62062342 65713068 93093513 124124684 131426136 186187026 248249368 279280539 372374052 558561078 744748104 1117122156 2234244312