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2234303104 = 27117512113
BaseRepresentation
bin1000010100101100…
…1100001010000000
312202201020100122211
42011023030022000
514033440144404
61005412511504
7106240156135
oct20513141200
95681210584
102234303104
11a47229aa0
1252431b594
13297b82157
14172a4a58c
15d1245b04
hex852cc280

2234303104 has 64 divisors (see below), whose sum is σ = 4864567680. Its totient is φ = 1013760000.

The previous prime is 2234303101. The next prime is 2234303117. The reversal of 2234303104 is 4013034322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×22343031042 = 9984220721088069632, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2234303101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1056352 + ... + 1058464.

It is an arithmetic number, because the mean of its divisors is an integer number (76008870).

Almost surely, 22234303104 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 2234303104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2432283840).

2234303104 is an abundant number, since it is smaller than the sum of its proper divisors (2630264576).

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

2234303104 is a wasteful number, since it uses less digits than its factorization.

2234303104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2889 (or 2877 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 2234303104 is about 47268.4155012626. The cubic root of 2234303104 is about 1307.3163606981.

Adding to 2234303104 its reverse (4013034322), we get a palindrome (6247337426).

The spelling of 2234303104 in words is "two billion, two hundred thirty-four million, three hundred three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 751 1408 1502 2113 3004 4226 6008 8261 8452 12016 16522 16904 23243 24032 33044 33808 46486 48064 66088 67616 92972 96128 132176 135232 185944 264352 270464 371888 528704 743776 1057408 1487552 1586863 2975104 3173726 6347452 12694904 17455493 25389808 34910986 50779616 69821972 101559232 139643944 203118464 279287888 558575776 1117151552 2234303104