Search a number
-
+
2230102035 = 325767105667
BaseRepresentation
bin1000010011101100…
…1010100000010011
312202102022220212200
42010323022200103
514031401231120
61005142454243
7106156361130
oct20473124023
95672286780
102230102035
11a4491a737
12522a34383
13297040c05
14172275587
15d0bb5e90
hex84eca813

2230102035 has 48 divisors (see below), whose sum is σ = 4483704576. Its totient is φ = 1004249664.

The previous prime is 2230102027. The next prime is 2230102037. The reversal of 2230102035 is 5302010322.

It is not a de Polignac number, because 2230102035 - 23 = 2230102027 is a prime.

It is a super-2 number, since 2×22301020352 = 9946710173022282450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2230101999 and 2230102017.

It is not an unprimeable number, because it can be changed into a prime (2230102037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31729 + ... + 73938.

It is an arithmetic number, because the mean of its divisors is an integer number (93410512).

Almost surely, 22230102035 is an apocalyptic number.

2230102035 is an abundant number, since it is smaller than the sum of its proper divisors (2253602541).

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

2230102035 is a wasteful number, since it uses less digits than its factorization.

2230102035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105752 (or 105749 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2230102035 is about 47223.9561557479. The cubic root of 2230102035 is about 1306.4964820771.

Adding to 2230102035 its reverse (5302010322), we get a palindrome (7532112357).

The spelling of 2230102035 in words is "two billion, two hundred thirty million, one hundred two thousand, thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 67 105 201 315 335 469 603 1005 1407 2345 3015 4221 7035 21105 105667 317001 528335 739669 951003 1585005 2219007 3698345 4755015 6657021 7079689 11095035 21239067 33285105 35398445 49557823 63717201 106195335 148673469 247789115 318586005 446020407 743367345 2230102035