Search a number
-
+
223023132111200 = 25521914672574481
BaseRepresentation
bin110010101101011010011110…
…100100001111000101100000
31002020122210200112111211202112
4302231122132210033011200
5213213002333310024300
62110155225032334452
764655614056316121
oct6255323644170540
91066583615454675
10223023132111200
116507564096a633
122101b463844428
139759cb6639375
143d1053d016048
151abb524372e35
hexcad69e90f160

223023132111200 has 72 divisors (see below), whose sum is σ = 573110759266920. Its totient is φ = 84514029004800.

The previous prime is 223023132111191. The next prime is 223023132111253. The reversal of 223023132111200 is 2111231320322.

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, 7336272041 + ... + 7336302440.

It is an arithmetic number, because the mean of its divisors is an integer number (7959871656485).

Almost surely, 2223023132111200 is an apocalyptic number.

223023132111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223023132111200 is an abundant number, since it is smaller than the sum of its proper divisors (350087627155720).

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

223023132111200 is a wasteful number, since it uses less digits than its factorization.

223023132111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14672574520 (or 14672574507 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 223023132111200 its reverse (2111231320322), we get a palindrome (225134363431522).

The spelling of 223023132111200 in words is "two hundred twenty-three trillion, twenty-three billion, one hundred thirty-two million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 152 160 190 200 304 380 400 475 608 760 800 950 1520 1900 3040 3800 7600 15200 14672574481 29345148962 58690297924 73362872405 117380595848 146725744810 234761191696 278778915139 293451489620 366814362025 469522383392 557557830278 586902979240 733628724050 1115115660556 1173805958480 1393894575695 1467257448100 2230231321112 2347611916960 2787789151390 2934514896200 4460462642224 5575578302780 5869029792400 6969472878475 8920925284448 11151156605560 11738059584800 13938945756950 22302313211120 27877891513900 44604626422240 55755783027800 111511566055600 223023132111200