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214517941 = 11232773061
BaseRepresentation
bin11001100100101…
…00100010110101
3112221122122021221
430302110202311
5414404033231
633141510341
75213241511
oct1462244265
9487578257
10214517941
111000a9560
125ba123b1
133559b3c1
14206c1141
1513c75d11
hexcc948b5

214517941 has 16 divisors (see below), whose sum is σ = 245155968. Its totient is φ = 185803200.

The previous prime is 214517921. The next prime is 214517969. The reversal of 214517941 is 149715412.

It is not a de Polignac number, because 214517941 - 27 = 214517813 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 214517897 and 214517906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214517921) 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 15 ways as a sum of consecutive naturals, for example, 68551 + ... + 71611.

It is an arithmetic number, because the mean of its divisors is an integer number (15322248).

Almost surely, 2214517941 is an apocalyptic number.

It is an amenable number.

214517941 is a deficient number, since it is larger than the sum of its proper divisors (30638027).

214517941 is a wasteful number, since it uses less digits than its factorization.

214517941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3372.

The product of its digits is 10080, while the sum is 34.

The square root of 214517941 is about 14646.4309987109. The cubic root of 214517941 is about 598.6245725564.

It can be divided in two parts, 21451 and 7941, that added together give a palindrome (29392).

The spelling of 214517941 in words is "two hundred fourteen million, five hundred seventeen thousand, nine hundred forty-one".

Divisors: 1 11 23 253 277 3047 3061 6371 33671 70081 70403 774433 847897 9326867 19501631 214517941