Search a number
-
+
21881097 = 347237149
BaseRepresentation
bin101001101111…
…0000100001001
31112011200020000
41103132010021
521100143342
62100553213
7353662200
oct123360411
945150200
1021881097
1111395657
1273b2809
1346c16c4
142c98237
151dc344c
hex14de109

21881097 has 60 divisors (see below), whose sum is σ = 39312900. Its totient is φ = 12083904.

The previous prime is 21881089. The next prime is 21881131. The reversal of 21881097 is 79018812.

It can be written as a sum of positive squares in 2 ways, for example, as 11148921 + 10732176 = 3339^2 + 3276^2 .

It is not a de Polignac number, because 21881097 - 23 = 21881089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21881017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 146779 + ... + 146927.

It is an arithmetic number, because the mean of its divisors is an integer number (655215).

Almost surely, 221881097 is an apocalyptic number.

21881097 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

21881097 is a deficient number, since it is larger than the sum of its proper divisors (17431803).

21881097 is a wasteful number, since it uses less digits than its factorization.

21881097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 21881097 is about 4677.7234847733. The cubic root of 21881097 is about 279.6982165219.

The spelling of 21881097 in words is "twenty-one million, eight hundred eighty-one thousand, ninety-seven".

Divisors: 1 3 7 9 21 27 37 49 63 81 111 147 149 189 259 333 441 447 567 777 999 1043 1323 1341 1813 2331 2997 3129 3969 4023 5439 5513 6993 7301 9387 12069 16317 16539 20979 21903 28161 38591 48951 49617 65709 84483 115773 146853 148851 197127 270137 347319 446553 591381 810411 1041957 2431233 3125871 7293699 21881097