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223164594409 = 433210912
BaseRepresentation
bin1100111111010110100…
…1010111100011101001
3210100000201120000011111
43033311221113203221
512124020114010114
6250304223430321
722060140516451
oct3176551274351
9710021500144
10223164594409
11867096608a9
12373014553a1
131807651a083
14ab307b6d61
155c11e47bc4
hex33f5a578e9

223164594409 has 9 divisors (see below), whose sum is σ = 223886388279. Its totient is φ = 222445124640.

The previous prime is 223164594403. The next prime is 223164594431. The reversal of 223164594409 is 904495461322.

The square root of 223164594409 is 472403.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 25025658025 + 198138936384 = 158195^2 + 445128^2 .

It is not a de Polignac number, because 223164594409 - 219 = 223164070121 is a prime.

It is a super-3 number, since 3×2231645944093 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (223164594403) 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 8 ways as a sum of consecutive naturals, for example, 204549954 + ... + 204551044.

Almost surely, 2223164594409 is an apocalyptic number.

223164594409 is the 472403-rd square number.

223164594409 is the 236202-nd centered octagonal number.

It is an amenable number.

223164594409 is a deficient number, since it is larger than the sum of its proper divisors (721793870).

223164594409 is an frugal number, since it uses more digits than its factorization.

223164594409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

Multiplying 223164594409 by its sum of digits (49), we get a square (10935065126041 = 33068212).

The spelling of 223164594409 in words is "two hundred twenty-three billion, one hundred sixty-four million, five hundred ninety-four thousand, four hundred nine".

Divisors: 1 433 1091 187489 472403 1190281 204550499 515391673 223164594409