Search a number
-
+
2505222162630 = 23251112457203141
BaseRepresentation
bin100100011101001010111…
…000001000100011000110
322212111102020110220121100
4210131022320020203012
5312021143333201010
65154514433200530
7345665512013355
oct44351270104306
98774366426540
102505222162630
11886505666370
12345641a00146
1315231a5878b5
148937948599c
15452772ed2c0
hex2474ae088c6

2505222162630 has 96 divisors (see below), whose sum is σ = 7106326445088. Its totient is φ = 607274841600.

The previous prime is 2505222162593. The next prime is 2505222162631. The reversal of 2505222162630 is 362612225052.

2505222162630 is a `hidden beast` number, since 2 + 5 + 0 + 5 + 2 + 2 + 2 + 16 + 2 + 630 = 666.

It is a super-2 number, since 2×25052221626302 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505222162631) 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 47 ways as a sum of consecutive naturals, for example, 12230860 + ... + 12434000.

It is an arithmetic number, because the mean of its divisors is an integer number (74024233803).

Almost surely, 22505222162630 is an apocalyptic number.

2505222162630 is an abundant number, since it is smaller than the sum of its proper divisors (4601104282458).

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

2505222162630 is a wasteful number, since it uses less digits than its factorization.

2505222162630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215622 (or 215619 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 2505222162630 its reverse (362612225052), we get a palindrome (2867834387682).

The spelling of 2505222162630 in words is "two trillion, five hundred five billion, two hundred twenty-two million, one hundred sixty-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 12457 24914 37371 62285 74742 112113 124570 137027 186855 203141 224226 274054 373710 406282 411081 560565 609423 685135 822162 1015705 1121130 1218846 1233243 1370270 1828269 2031410 2055405 2234551 2466486 3047115 3656538 4110810 4469102 6094230 6166215 6703653 9141345 11172755 12332430 13407306 18282690 20110959 22345510 33518265 40221918 67036530 100554795 201109590 2530527437 5061054874 7591582311 12652637185 15183164622 22774746933 25305274370 27835801807 37957911555 45549493866 55671603614 75915823110 83507405421 113873734665 139179009035 167014810842 227747469330 250522216263 278358018070 417537027105 501044432526 835074054210 1252611081315 2505222162630