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223225141213 = 10118112210773
BaseRepresentation
bin1100111111100101000…
…0010101011111011101
3210100011221111002202201
43033321100111133131
512124131114004323
6250314225251501
722061504251654
oct3177120253735
9710157432681
10223225141213
118673a855588
1237319793b91
1318085c28b99
14ab3885819b
155c174078ad
hex33f94157dd

223225141213 has 8 divisors (see below), whose sum is σ = 226680808536. Its totient is φ = 219793896000.

The previous prime is 223225141189. The next prime is 223225141267. The reversal of 223225141213 is 312141522322.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 69895726884 + 153329414329 = 264378^2 + 391573^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 223225141213 - 29 = 223225140701 is a prime.

It is a super-3 number, since 3×2232251412133 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223225141313) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6087106 + ... + 6123667.

It is an arithmetic number, because the mean of its divisors is an integer number (28335101067).

Almost surely, 2223225141213 is an apocalyptic number.

It is an amenable number.

223225141213 is a deficient number, since it is larger than the sum of its proper divisors (3455667323).

223225141213 is a wasteful number, since it uses less digits than its factorization.

223225141213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12211055.

The product of its digits is 5760, while the sum is 28.

Adding to 223225141213 its reverse (312141522322), we get a palindrome (535366663535).

The spelling of 223225141213 in words is "two hundred twenty-three billion, two hundred twenty-five million, one hundred forty-one thousand, two hundred thirteen".

Divisors: 1 101 181 18281 12210773 1233288073 2210149913 223225141213