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2293929 = 3211172947
BaseRepresentation
bin1000110000000010101001
311022112200100
420300002221
51041401204
6121100013
725332561
oct10600251
94275610
102293929
111327510
12927609
13624171
14439da1
15304a39
hex2300a9

2293929 has 48 divisors (see below), whose sum is σ = 4043520. Its totient is φ = 1236480.

The previous prime is 2293919. The next prime is 2293937. The reversal of 2293929 is 9293922.

It is not a de Polignac number, because 2293929 - 27 = 2293801 is a prime.

It is a super-2 number, since 2×22939292 = 10524220514082, which contains 22 as substring.

2293929 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2293893 and 2293902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2293919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48784 + ... + 48830.

It is an arithmetic number, because the mean of its divisors is an integer number (84240).

22293929 is an apocalyptic number.

2293929 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2293929 is a deficient number, since it is larger than the sum of its proper divisors (1749591).

2293929 is a wasteful number, since it uses less digits than its factorization.

2293929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 107 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 2293929 is about 1514.5722168322. The cubic root of 2293929 is about 131.8843684337.

The spelling of 2293929 in words is "two million, two hundred ninety-three thousand, nine hundred twenty-nine".

Divisors: 1 3 9 11 17 29 33 47 51 87 99 141 153 187 261 319 423 493 517 561 799 957 1363 1479 1551 1683 2397 2871 4089 4437 4653 5423 7191 8789 12267 14993 16269 23171 26367 44979 48807 69513 79101 134937 208539 254881 764643 2293929