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137216226 = 23729112657
BaseRepresentation
bin10000010110111…
…00000011100010
3100120012022021110
420023130003202
5240111404401
621341004150
73254214210
oct1013340342
9316168243
10137216226
1170500644
1239b53656
1322574244
141431bcb0
15c0a69d6
hex82dc0e2

137216226 has 32 divisors (see below), whose sum is σ = 324455040. Its totient is φ = 37852416.

The previous prime is 137216221. The next prime is 137216227. The reversal of 137216226 is 622612731.

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 = 137216193 and 137216202.

It is not an unprimeable number, because it can be changed into a prime (137216221) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 55111 + ... + 57546.

It is an arithmetic number, because the mean of its divisors is an integer number (10139220).

Almost surely, 2137216226 is an apocalyptic number.

137216226 is an abundant number, since it is smaller than the sum of its proper divisors (187238814).

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

137216226 is a wasteful number, since it uses less digits than its factorization.

137216226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112698.

The product of its digits is 6048, while the sum is 30.

The square root of 137216226 is about 11713.9329859787. The cubic root of 137216226 is about 515.7847413534.

Adding to 137216226 its reverse (622612731), we get a palindrome (759828957).

The spelling of 137216226 in words is "one hundred thirty-seven million, two hundred sixteen thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 1218 112657 225314 337971 675942 788599 1577198 2365797 3267053 4731594 6534106 9801159 19602318 22869371 45738742 68608113 137216226