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2230065630 = 2325135335963
BaseRepresentation
bin1000010011101100…
…0001100111011110
312202102021001221100
42010323001213132
514031344100010
61005142013530
7106156150032
oct20473014736
95672231840
102230065630
11a448a5351
12522a172a6
1329702a480
141722661c2
15d0baa2c0
hex84ec19de

2230065630 has 96 divisors (see below), whose sum is σ = 6362175456. Its totient is φ = 538566912.

The previous prime is 2230065589. The next prime is 2230065637. The reversal of 2230065630 is 365600322.

2230065630 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 0 + 656 + 3 + 0 = 666.

2230065630 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 junction number, because it is equal to n+sod(n) for n = 2230065594 and 2230065603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230065637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44029 + ... + 79991.

It is an arithmetic number, because the mean of its divisors is an integer number (66272661).

Almost surely, 22230065630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2230065630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181087728).

2230065630 is an abundant number, since it is smaller than the sum of its proper divisors (4132109826).

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

2230065630 is a wasteful number, since it uses less digits than its factorization.

2230065630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36042 (or 36039 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 2230065630 is about 47223.5707036221. The cubic root of 2230065630 is about 1306.4893727966.

Adding to 2230065630 its reverse (365600322), we get a palindrome (2595665952).

The spelling of 2230065630 in words is "two billion, two hundred thirty million, sixty-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 53 65 78 90 106 117 130 159 195 234 265 318 390 477 530 585 689 795 954 1170 1378 1590 2067 2385 3445 4134 4770 6201 6890 10335 12402 20670 31005 35963 62010 71926 107889 179815 215778 323667 359630 467519 539445 647334 935038 1078890 1402557 1618335 1906039 2337595 2805114 3236670 3812078 4207671 4675190 5718117 7012785 8415342 9530195 11436234 14025570 17154351 19060390 21038355 24778507 28590585 34308702 42076710 49557014 57181170 74335521 85771755 123892535 148671042 171543510 223006563 247785070 371677605 446013126 743355210 1115032815 2230065630