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214537141 = 7213336793
BaseRepresentation
bin11001100100110…
…01001110110101
3112221200121122001
430302121032311
5414410142031
633142135301
75213351500
oct1462311665
9487617561
10214537141
11100111a25
125ba21531
13355a7070
14206c8137
1513c7b861
hexcc993b5

214537141 has 12 divisors (see below), whose sum is σ = 268761612. Its totient is φ = 169743168.

The previous prime is 214537117. The next prime is 214537153. The reversal of 214537141 is 141735412.

It can be written as a sum of positive squares in 2 ways, for example, as 115455025 + 99082116 = 10745^2 + 9954^2 .

It is not a de Polignac number, because 214537141 - 25 = 214537109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214537111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167760 + ... + 169033.

It is an arithmetic number, because the mean of its divisors is an integer number (22396801).

Almost surely, 2214537141 is an apocalyptic number.

It is an amenable number.

214537141 is a deficient number, since it is larger than the sum of its proper divisors (54224471).

214537141 is a wasteful number, since it uses less digits than its factorization.

214537141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336820 (or 336813 counting only the distinct ones).

The product of its digits is 3360, while the sum is 28.

The square root of 214537141 is about 14647.0864338270. The cubic root of 214537141 is about 598.6424315893.

It can be divided in two parts, 2145371 and 41, that added together give a palindrome (2145412).

The spelling of 214537141 in words is "two hundred fourteen million, five hundred thirty-seven thousand, one hundred forty-one".

Divisors: 1 7 13 49 91 637 336793 2357551 4378309 16502857 30648163 214537141