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2205042532 = 2272112109853
BaseRepresentation
bin1000001101101110…
…0100011101100100
312200200011202200221
42003123210131210
514003442330112
61002445414124
7105433360300
oct20333443544
95620152627
102205042532
11a31764100
1251656a344
13291aa88c4
1416cbd0d00
15cd8b5e07
hex836e4764

2205042532 has 108 divisors (see below), whose sum is σ = 4985113980. Its totient is φ = 850227840.

The previous prime is 2205042523. The next prime is 2205042547. The reversal of 2205042532 is 2352405022.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 734626816 + 1470415716 = 27104^2 + 38346^2 .

It is a super-4 number, since 4×22050425324 (a number of 38 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2205042497 and 2205042506.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2584618 + ... + 2585470.

Almost surely, 22205042532 is an apocalyptic number.

2205042532 is a gapful number since it is divisible by the number (22) 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 2205042532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2492556990).

2205042532 is an abundant number, since it is smaller than the sum of its proper divisors (2780071448).

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

2205042532 is a wasteful number, since it uses less digits than its factorization.

2205042532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 2205042532 is about 46957.8804036128. The cubic root of 2205042532 is about 1301.5843665041.

Adding to 2205042532 its reverse (2352405022), we get a palindrome (4557447554).

The spelling of 2205042532 in words is "two billion, two hundred five million, forty-two thousand, five hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 109 121 154 196 218 242 308 436 484 539 763 847 853 1078 1199 1526 1694 1706 2156 2398 3052 3388 3412 4796 5341 5929 5971 8393 9383 10682 11858 11942 13189 16786 18766 21364 23716 23884 26378 33572 37532 41797 52756 58751 65681 83594 92323 92977 103213 117502 131362 167188 184646 185954 206426 235004 262724 369292 371908 412852 459767 646261 650839 722491 919534 1022747 1292522 1301678 1444982 1839068 2045494 2585044 2603356 2889964 4090988 4555873 5057437 7159229 9111746 10114874 11250217 14318458 18223492 20229748 22500434 28636916 45000868 50114603 78751519 100229206 157503038 200458412 315006076 551260633 1102521266 2205042532