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331364223 = 3312272749
BaseRepresentation
bin10011110000000…
…011011101111111
3212002112001021000
4103300003131333
51134312123343
652514141343
711132356311
oct2360033577
9762461230
10331364223
11160056933
1292b81853
135385ca08
14320197b1
151e156ed3
hex13c0377f

331364223 has 8 divisors (see below), whose sum is σ = 490910000. Its totient is φ = 220909464.

The previous prime is 331364191. The next prime is 331364227. The reversal of 331364223 is 322463133.

It is a happy number.

331364223 is a `hidden beast` number, since 3 + 3 + 13 + 642 + 2 + 3 = 666.

It is not a de Polignac number, because 331364223 - 25 = 331364191 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 12272749 = 331364223 / (3 + 3 + 1 + 3 + 6 + 4 + 2 + 2 + 3).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331364227) by changing a digit.

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, 6136348 + ... + 6136401.

It is an arithmetic number, because the mean of its divisors is an integer number (61363750).

Almost surely, 2331364223 is an apocalyptic number.

331364223 is a deficient number, since it is larger than the sum of its proper divisors (159545777).

331364223 is a wasteful number, since it uses less digits than its factorization.

331364223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12272758 (or 12272752 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 331364223 is about 18203.4123998771. The cubic root of 331364223 is about 691.9932722067.

The spelling of 331364223 in words is "three hundred thirty-one million, three hundred sixty-four thousand, two hundred twenty-three".

Divisors: 1 3 9 27 12272749 36818247 110454741 331364223