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129017226 = 231331229233
BaseRepresentation
bin1111011000010…
…10010110001010
322222202202100210
413230022112022
5231012022401
620445141550
73124425342
oct754122612
9288682323
10129017226
1166910608
123725a8b6
1320963370
14131c5d22
15b4d74d6
hex7b0a58a

129017226 has 64 divisors (see below), whose sum is σ = 289336320. Its totient is φ = 38085120.

The previous prime is 129017183. The next prime is 129017227. The reversal of 129017226 is 622710921.

It is a junction number, because it is equal to n+sod(n) for n = 129017193 and 129017202.

It is not an unprimeable number, because it can be changed into a prime (129017227) 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 31 ways as a sum of consecutive naturals, for example, 553606 + ... + 553838.

It is an arithmetic number, because the mean of its divisors is an integer number (4520880).

Almost surely, 2129017226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129017226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144668160).

129017226 is an abundant number, since it is smaller than the sum of its proper divisors (160319094).

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

129017226 is a wasteful number, since it uses less digits than its factorization.

129017226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 129017226 is about 11358.5749986519. The cubic root of 129017226 is about 505.2999244410.

The spelling of 129017226 in words is "one hundred twenty-nine million, seventeen thousand, two hundred twenty-six".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 186 229 233 403 458 466 687 699 806 1209 1374 1398 2418 2977 3029 5954 6058 7099 7223 8931 9087 14198 14446 17862 18174 21297 21669 42594 43338 53357 92287 93899 106714 160071 184574 187798 276861 281697 320142 553722 563394 693641 1387282 1654067 2080923 3308134 4161846 4962201 9924402 21502871 43005742 64508613 129017226