Search a number
-
+
22503320405200 = 2452163345142951
BaseRepresentation
bin1010001110111011101100…
…11010110100010011010000
32221200022000002110010111201
411013131312122310103100
510422143300010431300
6115505514354120544
74511545154256055
oct507356632642320
987608002403451
1022503320405200
117196671787948
122635364580154
13c73091870b7b
1457b248cdd02c
1529056a22a66a
hex1477766b44d0

22503320405200 has 60 divisors (see below), whose sum is σ = 54395909807008. Its totient is φ = 8946105264000.

The previous prime is 22503320405171. The next prime is 22503320405239. The reversal of 22503320405200 is 250402330522.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172506276 + ... + 172636675.

Almost surely, 222503320405200 is an apocalyptic number.

22503320405200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22503320405200 is an abundant number, since it is smaller than the sum of its proper divisors (31892589401808).

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

22503320405200 is a wasteful number, since it uses less digits than its factorization.

22503320405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345143132 (or 345143121 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

Adding to 22503320405200 its reverse (250402330522), we get a palindrome (22753722735722).

The spelling of 22503320405200 in words is "twenty-two trillion, five hundred three billion, three hundred twenty million, four hundred five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 163 200 326 400 652 815 1304 1630 2608 3260 4075 6520 8150 13040 16300 32600 65200 345142951 690285902 1380571804 1725714755 2761143608 3451429510 5522287216 6902859020 8628573775 13805718040 17257147550 27611436080 34514295100 56258301013 69028590200 112516602026 138057180400 225033204052 281291505065 450066408104 562583010130 900132816208 1125166020260 1406457525325 2250332040520 2812915050650 4500664081040 5625830101300 11251660202600 22503320405200