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221314932 = 223213614517
BaseRepresentation
bin11010011000011…
…11111101110100
3120102102222000100
431030033331310
5423124034212
633543314100
75325101016
oct1514177564
9512388010
10221314932
11103a21203
126214b930
1336b0b0a7
14215701b6
1514669bdc
hexd30ff74

221314932 has 36 divisors (see below), whose sum is σ = 559969956. Its totient is φ = 73701120.

The previous prime is 221314931. The next prime is 221314939. The reversal of 221314932 is 239413122.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12916836 + 208398096 = 3594^2 + 14436^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 221314896 and 221314905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221314931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46738 + ... + 51254.

It is an arithmetic number, because the mean of its divisors is an integer number (15554721).

Almost surely, 2221314932 is an apocalyptic number.

It is an amenable number.

221314932 is an abundant number, since it is smaller than the sum of its proper divisors (338655024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221314932 is a wasteful number, since it uses less digits than its factorization.

221314932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5888 (or 5883 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 221314932 is about 14876.6572858287. The cubic root of 221314932 is about 604.8814119956.

The spelling of 221314932 in words is "two hundred twenty-one million, three hundred fourteen thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1361 2722 4083 4517 5444 8166 9034 12249 13551 16332 18068 24498 27102 40653 48996 54204 81306 162612 6147637 12295274 18442911 24590548 36885822 55328733 73771644 110657466 221314932