Search a number
-
+
223133660945280 = 2734523187142429
BaseRepresentation
bin110010101111000001011010…
…100110010001101110000000
31002021001100222111000101010000
4302233001122212101232000
5213221310214200222110
62110322104433040000
764666606062024651
oct6257013246215600
91067040874011100
10223133660945280
11651084aa5805a8
122103896b6b6000
13976754c575737
143d15a26539528
151abe342acc1c0
hexcaf05a991b80

223133660945280 has 320 divisors, whose sum is σ = 831496273581600. Its totient is φ = 56915252342784.

The previous prime is 223133660945227. The next prime is 223133660945287. The reversal of 223133660945280 is 82549066331322.

223133660945280 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 3 + 3 + 6 + 609 + 4 + 5 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×2231336609452803 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223133660945287) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92378895 + ... + 94763534.

Almost surely, 2223133660945280 is an apocalyptic number.

223133660945280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223133660945280 is an abundant number, since it is smaller than the sum of its proper divisors (608362612636320).

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

223133660945280 is a wasteful number, since it uses less digits than its factorization.

223133660945280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187142483 (or 187142462 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 223133660945280 in words is "two hundred twenty-three trillion, one hundred thirty-three billion, six hundred sixty million, nine hundred forty-five thousand, two hundred eighty".