Search a number
-
+
32225014040100 = 22352715345244781
BaseRepresentation
bin1110101001110111110001…
…00000111100011000100100
311020002200101122011012011020
413110323320200330120210
513210433312043240400
6152311544520011140
76534115613600010
oct724737040743044
9136080348135136
1032225014040100
11a2a4608359652
123745510000ab0
1314c9a6240373b
147d59b00bb540
153ad3a72732a0
hex1d4ef883c624

32225014040100 has 72 divisors (see below), whose sum is σ = 106557379766208. Its totient is φ = 7365717494400.

The previous prime is 32225014040099. The next prime is 32225014040101. The reversal of 32225014040100 is 104041052223.

It is an interprime number because it is at equal distance from previous prime (32225014040099) and next prime (32225014040101).

It is not an unprimeable number, because it can be changed into a prime (32225014040101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7672620291 + ... + 7672624490.

It is an arithmetic number, because the mean of its divisors is an integer number (1479963607864).

Almost surely, 232225014040100 is an apocalyptic number.

32225014040100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32225014040100 is an abundant number, since it is smaller than the sum of its proper divisors (74332365726108).

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

32225014040100 is a wasteful number, since it uses less digits than its factorization.

32225014040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15345244805 (or 15345244798 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 32225014040100 its reverse (104041052223), we get a palindrome (32329055092323).

The spelling of 32225014040100 in words is "thirty-two trillion, two hundred twenty-five billion, fourteen million, forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 15345244781 30690489562 46035734343 61380979124 76726223905 92071468686 107416713467 153452447810 184142937372 214833426934 230178671715 306904895620 322250140401 383631119525 429666853868 460357343430 537083567335 644500280802 767262239050 920714686860 1074167134670 1150893358575 1289000561604 1534524478100 1611250702005 2148334269340 2301786717150 2685417836675 3222501404010 4603573434300 5370835673350 6445002808020 8056253510025 10741671346700 16112507020050 32225014040100