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2230022025 = 3252711128717
BaseRepresentation
bin1000010011101011…
…0110111110001001
312202102011212010100
42010322312332021
514031341201100
61005141040013
7106155605640
oct20472667611
95672155110
102230022025
11a44875610
125229b6009
1329701367a
14172254357
15d0b9c400
hex84eb6f89

2230022025 has 72 divisors (see below), whose sum is σ = 4979841984. Its totient is φ = 926755200.

The previous prime is 2230022009. The next prime is 2230022027. The reversal of 2230022025 is 5202200322.

2230022025 = T12839 + T12840 + ... + T12865.

It is not a de Polignac number, because 2230022025 - 24 = 2230022009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2230021989 and 2230022007.

It is not an unprimeable number, because it can be changed into a prime (2230022027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47034 + ... + 81683.

It is an arithmetic number, because the mean of its divisors is an integer number (69164472).

Almost surely, 22230022025 is an apocalyptic number.

2230022025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2230022025 is an abundant number, since it is smaller than the sum of its proper divisors (2749819959).

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

2230022025 is a wasteful number, since it uses less digits than its factorization.

2230022025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128751 (or 128743 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2230022025 is about 47223.1090145492. The cubic root of 2230022025 is about 1306.4808573760.

Adding to 2230022025 its reverse (5202200322), we get a palindrome (7432222347).

The spelling of 2230022025 in words is "two billion, two hundred thirty million, twenty-two thousand, twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 33 35 45 55 63 75 77 99 105 165 175 225 231 275 315 385 495 525 693 825 1155 1575 1925 2475 3465 5775 17325 128717 386151 643585 901019 1158453 1415887 1930755 2703057 3217925 4247661 4505095 5792265 7079435 8109171 9653775 9911209 12742983 13515285 21238305 22525475 28961325 29733627 35397175 40545855 49556045 63714915 67576425 89200881 106191525 148668135 202729275 247780225 318574575 446004405 743340675 2230022025