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2234314656 = 253277914029
BaseRepresentation
bin1000010100101100…
…1110111110100000
312202201020221111200
42011023032332200
514033441032111
61005413041200
7106240234620
oct20513167640
95681227450
102234314656
11a47237742
12524326200
13297b874a2
14172a50880
15d1249256
hex852cefa0

2234314656 has 144 divisors (see below), whose sum is σ = 7353964800. Its totient is φ = 630249984.

The previous prime is 2234314637. The next prime is 2234314669. The reversal of 2234314656 is 6564134322.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2234314656.

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, 152250 + ... + 166278.

It is an arithmetic number, because the mean of its divisors is an integer number (51069200).

Almost surely, 22234314656 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 2234314656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3676982400).

2234314656 is an abundant number, since it is smaller than the sum of its proper divisors (5119650144).

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

2234314656 is a wasteful number, since it uses less digits than its factorization.

2234314656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14131 (or 14120 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 2234314656 is about 47268.5376968656. The cubic root of 2234314656 is about 1307.3186137634.

Adding to 2234314656 its reverse (6564134322), we get a palindrome (8798448978).

The spelling of 2234314656 in words is "two billion, two hundred thirty-four million, three hundred fourteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 79 84 96 112 126 144 158 168 224 237 252 288 316 336 474 504 553 632 672 711 948 1008 1106 1264 1422 1659 1896 2016 2212 2528 2844 3318 3792 4424 4977 5688 6636 7584 8848 9954 11376 13272 14029 17696 19908 22752 26544 28058 39816 42087 53088 56116 79632 84174 98203 112232 126261 159264 168348 196406 224464 252522 294609 336696 392812 448928 505044 589218 673392 785624 883827 1010088 1108291 1178436 1346784 1571248 1767654 2020176 2216582 2356872 3142496 3324873 3535308 4040352 4433164 4713744 6649746 7070616 7758037 8866328 9427488 9974619 13299492 14141232 15516074 17732656 19949238 23274111 26598984 28282464 31032148 35465312 39898476 46548222 53197968 62064296 69822333 79796952 93096444 106395936 124128592 139644666 159593904 186192888 248257184 279289332 319187808 372385776 558578664 744771552 1117157328 2234314656