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2232220253 is a prime number
BaseRepresentation
bin1000010100001100…
…1111101001011101
312202120022112112012
42011003033221131
514032422022003
61005300121005
7106213362524
oct20503175135
95676275465
102232220253
11a4603712a
12523696165
132976030b3
141726674bb
15d0e838d8
hex850cfa5d

2232220253 has 2 divisors, whose sum is σ = 2232220254. Its totient is φ = 2232220252.

The previous prime is 2232220231. The next prime is 2232220261. The reversal of 2232220253 is 3520222322.

2232220253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1892076004 + 340144249 = 43498^2 + 18443^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2232220253 is a prime.

It is a super-3 number, since 3×22322202533 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2232220283) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1116110126 + 1116110127.

It is an arithmetic number, because the mean of its divisors is an integer number (1116110127).

Almost surely, 22232220253 is an apocalyptic number.

It is an amenable number.

2232220253 is a deficient number, since it is larger than the sum of its proper divisors (1).

2232220253 is an equidigital number, since it uses as much as digits as its factorization.

2232220253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 2232220253 is about 47246.3781998155. The cubic root of 2232220253 is about 1306.9100010676.

Adding to 2232220253 its reverse (3520222322), we get a palindrome (5752442575).

The spelling of 2232220253 in words is "two billion, two hundred thirty-two million, two hundred twenty thousand, two hundred fifty-three".