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213247233369 = 321539292
BaseRepresentation
bin1100011010011010000…
…1101000110101011001
3202101102120021212101100
43012212201220311121
511443212242431434
6241544152142013
721256315401432
oct3064641506531
9671376255340
10213247233369
118248a55a755
12353b4097909
13171559a51c1
14a46d606489
155831460699
hex31a6868d59

213247233369 has 9 divisors (see below), whose sum is σ = 308025782623. Its totient is φ = 142163898672.

The previous prime is 213247233359. The next prime is 213247233401. The reversal of 213247233369 is 963332742312.

The square root of 213247233369 is 461787.

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

213247233369 is a `hidden beast` number, since 2 + 13 + 2 + 47 + 233 + 369 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23290727769 + 189956505600 = 152613^2 + 435840^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 213247233369 - 25 = 213247233337 is a prime.

It is a super-2 number, since 2×2132472333692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213247233349) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1308397 + ... + 1462325.

Almost surely, 2213247233369 is an apocalyptic number.

213247233369 is the 461787-th square number.

213247233369 is the 230894-th centered octagonal number.

It is an amenable number.

213247233369 is a deficient number, since it is larger than the sum of its proper divisors (94778549254).

213247233369 is an frugal number, since it uses more digits than its factorization.

213247233369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307864 (or 153932 counting only the distinct ones).

The product of its digits is 979776, while the sum is 45.

The spelling of 213247233369 in words is "two hundred thirteen billion, two hundred forty-seven million, two hundred thirty-three thousand, three hundred sixty-nine".

Divisors: 1 3 9 153929 461787 1385361 23694137041 71082411123 213247233369