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152262216 = 23325339901
BaseRepresentation
bin10010001001101…
…01011001001000
3101121111201111100
421010311121020
5302434342331
623035301400
73526131111
oct1104653110
9347451440
10152262216
1178a47947
1242baa860
13257117b2
1416317208
15d579ae6
hex9135648

152262216 has 48 divisors (see below), whose sum is σ = 420168060. Its totient is φ = 49795200.

The previous prime is 152262203. The next prime is 152262221. The reversal of 152262216 is 612262251.

152262216 is a `hidden beast` number, since 1 + 5 + 22 + 622 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 147622500 + 4639716 = 12150^2 + 2154^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 152262216.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 16135 + ... + 23766.

Almost surely, 2152262216 is an apocalyptic number.

It is an amenable number.

152262216 is an abundant number, since it is smaller than the sum of its proper divisors (267905844).

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

152262216 is a wasteful number, since it uses less digits than its factorization.

152262216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39966 (or 39959 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 152262216 is about 12339.4576866246. The cubic root of 152262216 is about 533.9870383590.

The spelling of 152262216 in words is "one hundred fifty-two million, two hundred sixty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 39901 79802 119703 159604 239406 319208 359109 478812 718218 957624 1436436 2114753 2872872 4229506 6344259 8459012 12688518 16918024 19032777 25377036 38065554 50754072 76131108 152262216