Search a number
-
+
23233303301220 = 22335191225259873
BaseRepresentation
bin1010100100001011011001…
…10010100100110001100100
310001021002012212001110101000
411102011230302210301210
511021123301121114340
6121225122053033300
74615356625433445
oct522055462446144
9101232185043330
1023233303301220
117448209028051
12273292a325830
13cc6b779949ac
145a46d82792cc
152a454167dd30
hex15216cca4c64

23233303301220 has 96 divisors (see below), whose sum is σ = 72659824957440. Its totient is φ = 6163110097920.

The previous prime is 23233303301167. The next prime is 23233303301267. The reversal of 23233303301220 is 2210330333232.

23233303301220 is a `hidden beast` number, since 2 + 3 + 2 + 3 + 330 + 3 + 301 + 2 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112526797 + ... + 112733076.

It is an arithmetic number, because the mean of its divisors is an integer number (756873176640).

Almost surely, 223233303301220 is an apocalyptic number.

23233303301220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23233303301220 is an abundant number, since it is smaller than the sum of its proper divisors (49426521656220).

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

23233303301220 is a wasteful number, since it uses less digits than its factorization.

23233303301220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225260082 (or 225260074 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 23233303301220 its reverse (2210330333232), we get a palindrome (25443633634452).

The spelling of 23233303301220 in words is "twenty-three trillion, two hundred thirty-three billion, three hundred three million, three hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 191 270 382 540 573 764 955 1146 1719 1910 2292 2865 3438 3820 5157 5730 6876 8595 10314 11460 17190 20628 25785 34380 51570 103140 225259873 450519746 675779619 901039492 1126299365 1351559238 2027338857 2252598730 2703118476 3378898095 4054677714 4505197460 6082016571 6757796190 8109355428 10136694285 12164033142 13515592380 20273388570 24328066284 30410082855 40546777140 43024635743 60820165710 86049271486 121640331420 129073907229 172098542972 215123178715 258147814458 387221721687 430246357430 516295628916 645369536145 774443443374 860492714860 1161665165061 1290739072290 1548886886748 1936108608435 2323330330122 2581478144580 3872217216870 4646660660244 5808325825305 7744434433740 11616651650610 23233303301220