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2232230381 is a prime number
BaseRepresentation
bin1000010100001101…
…0010000111101101
312202120100001102022
42011003102013231
514032422333011
61005300235525
7106213434203
oct20503220755
95676301368
102232230381
11a460437a7
1252369bba5
132976078a4
1417266b073
15d0e868db
hex850d21ed

2232230381 has 2 divisors, whose sum is σ = 2232230382. Its totient is φ = 2232230380.

The previous prime is 2232230327. The next prime is 2232230389. The reversal of 2232230381 is 1830322322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1180266025 + 1051964356 = 34355^2 + 32434^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2232230381 is a prime.

It is a super-3 number, since 3×22322303813 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2232230381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2232230389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1116115190 + 1116115191.

It is an arithmetic number, because the mean of its divisors is an integer number (1116115191).

Almost surely, 22232230381 is an apocalyptic number.

It is an amenable number.

2232230381 is a deficient number, since it is larger than the sum of its proper divisors (1).

2232230381 is an equidigital number, since it uses as much as digits as its factorization.

2232230381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 2232230381 is about 47246.4853825128. The cubic root of 2232230381 is about 1306.9119776295.

The spelling of 2232230381 in words is "two billion, two hundred thirty-two million, two hundred thirty thousand, three hundred eighty-one".