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20216261 = 1389101173
BaseRepresentation
bin100110100011…
…1100111000101
31102001002111102
41031013213011
520133410021
62001145445
7333556352
oct115074705
942032442
1020216261
111045885a
12692b285
13425a9b0
142983629
151b9500b
hex13479c5

20216261 has 16 divisors (see below), whose sum is σ = 22362480. Its totient is φ = 18163200.

The previous prime is 20216243. The next prime is 20216263. The reversal of 20216261 is 16261202.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 591361 + 19624900 = 769^2 + 4430^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20216261 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20216263) 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, 116771 + ... + 116943.

It is an arithmetic number, because the mean of its divisors is an integer number (1397655).

Almost surely, 220216261 is an apocalyptic number.

It is an amenable number.

20216261 is a deficient number, since it is larger than the sum of its proper divisors (2146219).

20216261 is a wasteful number, since it uses less digits than its factorization.

20216261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 20216261 is about 4496.2496594384. The cubic root of 20216261 is about 272.4166274136.

Adding to 20216261 its reverse (16261202), we get a palindrome (36477463).

It can be divided in two parts, 20216 and 261, that multiplied together give a triangular number (5276376 = T3248).

The spelling of 20216261 in words is "twenty million, two hundred sixteen thousand, two hundred sixty-one".

Divisors: 1 13 89 101 173 1157 1313 2249 8989 15397 17473 116857 200161 227149 1555097 20216261