Search a number
-
+
226646107120 = 24519149109281
BaseRepresentation
bin1101001100010100101…
…0010010001111110000
3210200000100122011202201
43103011022102033300
512203132400411440
6252041512352544
722242334060336
oct3230512221760
9720010564681
10226646107120
1188135900934
1237b133a5754
13184ac8b2974
14ad80d21b56
155d6790219a
hex34c52923f0

226646107120 has 40 divisors (see below), whose sum is σ = 554686529040. Its totient is φ = 85886945280.

The previous prime is 226646107117. The next prime is 226646107141. The reversal of 226646107120 is 21701646622.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 226646107120.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 74553121 + ... + 74556160.

It is an arithmetic number, because the mean of its divisors is an integer number (13867163226).

Almost surely, 2226646107120 is an apocalyptic number.

226646107120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226646107120 is an abundant number, since it is smaller than the sum of its proper divisors (328040421920).

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

226646107120 is a wasteful number, since it uses less digits than its factorization.

226646107120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149109313 (or 149109307 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 226646107120 in words is "two hundred twenty-six billion, six hundred forty-six million, one hundred seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 149109281 298218562 596437124 745546405 1192874248 1491092810 2385748496 2833076339 2982185620 5666152678 5964371240 11332305356 11928742480 14165381695 22664610712 28330763390 45329221424 56661526780 113323053560 226646107120