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2249728829 is a prime number
BaseRepresentation
bin1000011000011000…
…0010001100111101
312210210021001202222
42012012002030331
514101412310304
61011123255125
7106515244115
oct20606021475
95723231688
102249728829
11a54a05627
1252951a4a5
1329b1234ba
14174b04045
15d27914be
hex8618233d

2249728829 has 2 divisors, whose sum is σ = 2249728830. Its totient is φ = 2249728828.

The previous prime is 2249728769. The next prime is 2249728841. The reversal of 2249728829 is 9288279422.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2097823204 + 151905625 = 45802^2 + 12325^2 .

It is a cyclic number.

It is not a de Polignac number, because 2249728829 - 224 = 2232951613 is a prime.

It is a super-2 number, since 2×22497288292 = 10122559608067422482, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2249728879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1124864414 + 1124864415.

It is an arithmetic number, because the mean of its divisors is an integer number (1124864415).

Almost surely, 22249728829 is an apocalyptic number.

It is an amenable number.

2249728829 is a deficient number, since it is larger than the sum of its proper divisors (1).

2249728829 is an equidigital number, since it uses as much as digits as its factorization.

2249728829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2322432, while the sum is 53.

The square root of 2249728829 is about 47431.3064230788. The cubic root of 2249728829 is about 1310.3180528366.

The spelling of 2249728829 in words is "two billion, two hundred forty-nine million, seven hundred twenty-eight thousand, eight hundred twenty-nine".