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2123233060 = 2251357714153
BaseRepresentation
bin111111010001101…
…1111011100100100
312110222020102012111
41332203133130210
513322021424220
6550404130404
7103421116564
oct17643373444
95428212174
102123233060
1199a567473
124b3096a04
1327ab63a30
14161db6da4
15c660615a
hex7e8df724

2123233060 has 48 divisors (see below), whose sum is σ = 4810435056. Its totient is φ = 782548992.

The previous prime is 2123233051. The next prime is 2123233081. The reversal of 2123233060 is 603323212.

It can be written as a sum of positive squares in 8 ways, for example, as 1340964 + 2121892096 = 1158^2 + 46064^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142944 + ... + 157096.

It is an arithmetic number, because the mean of its divisors is an integer number (100217397).

Almost surely, 22123233060 is an apocalyptic number.

2123233060 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 2123233060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405217528).

2123233060 is an abundant number, since it is smaller than the sum of its proper divisors (2687201996).

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

2123233060 is a wasteful number, since it uses less digits than its factorization.

2123233060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14752 (or 14750 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 2123233060 is about 46078.5531456881. The cubic root of 2123233060 is about 1285.2843592406.

Adding to 2123233060 its reverse (603323212), we get a palindrome (2726556272).

The spelling of 2123233060 in words is "two billion, one hundred twenty-three million, two hundred thirty-three thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 577 1154 2308 2885 5770 7501 11540 14153 15002 28306 30004 37505 56612 70765 75010 141530 150020 183989 283060 367978 735956 919945 1839890 3679780 8166281 16332562 32665124 40831405 81662810 106161653 163325620 212323306 424646612 530808265 1061616530 2123233060