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104222781 = 3413293413
BaseRepresentation
bin1100011011001…
…01000000111101
321021010001210000
412031211000331
5203140112111
614201504513
72403610335
oct615450075
9237101700
10104222781
1153916133
122aaa2139
13187918b0
14dbb00c5
15923ac56
hex636503d

104222781 has 40 divisors (see below), whose sum is σ = 173499480. Its totient is φ = 61907328.

The previous prime is 104222777. The next prime is 104222791. The reversal of 104222781 is 187222401.

It can be written as a sum of positive squares in 4 ways, for example, as 22410756 + 81812025 = 4734^2 + 9045^2 .

It is not a de Polignac number, because 104222781 - 22 = 104222777 is a prime.

It is a super-2 number, since 2×1042227812 = 21724776158747922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104222731) 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 in 39 ways as a sum of consecutive naturals, for example, 28831 + ... + 32243.

It is an arithmetic number, because the mean of its divisors is an integer number (4337487).

Almost surely, 2104222781 is an apocalyptic number.

It is an amenable number.

104222781 is a deficient number, since it is larger than the sum of its proper divisors (69276699).

104222781 is a wasteful number, since it uses less digits than its factorization.

104222781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3467 (or 3458 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 104222781 is about 10208.9559211508. The cubic root of 104222781 is about 470.6024882488.

It can be divided in two parts, 10422 and 2781, that added together give a triangular number (13203 = T162).

The spelling of 104222781 in words is "one hundred four million, two hundred twenty-two thousand, seven hundred eighty-one".

Divisors: 1 3 9 13 27 29 39 81 87 117 261 351 377 783 1053 1131 2349 3393 3413 10179 10239 30537 30717 44369 92151 98977 133107 276453 296931 399321 890793 1197963 1286701 2672379 3593889 3860103 8017137 11580309 34740927 104222781