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129226916 = 227213411237
BaseRepresentation
bin1111011001111…
…01100010100100
3100000011102000002
413230331202210
5231040230131
620453440432
73126260600
oct754754244
9300142002
10129226916
1166a44105
1237340118
1320a07940
141323c500
15b5296cb
hex7b3d8a4

129226916 has 72 divisors (see below), whose sum is σ = 290449656. Its totient is φ = 49835520.

The previous prime is 129226901. The next prime is 129226919. The reversal of 129226916 is 619622921.

It can be written as a sum of positive squares in 4 ways, for example, as 313600 + 128913316 = 560^2 + 11354^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 129226916.

It is not an unprimeable number, because it can be changed into a prime (129226919) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103850 + ... + 105086.

It is an arithmetic number, because the mean of its divisors is an integer number (4034023).

Almost surely, 2129226916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129226916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145224828).

129226916 is an abundant number, since it is smaller than the sum of its proper divisors (161222740).

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

129226916 is a wasteful number, since it uses less digits than its factorization.

129226916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1300 counting only the distinct ones).

The product of its digits is 23328, while the sum is 38.

The square root of 129226916 is about 11367.8017224088. The cubic root of 129226916 is about 505.5735287058.

The spelling of 129226916 in words is "one hundred twenty-nine million, two hundred twenty-six thousand, nine hundred sixteen".

Divisors: 1 2 4 7 13 14 26 28 41 49 52 82 91 98 164 182 196 287 364 533 574 637 1066 1148 1237 1274 2009 2132 2474 2548 3731 4018 4948 7462 8036 8659 14924 16081 17318 26117 32162 34636 50717 52234 60613 64324 101434 104468 112567 121226 202868 225134 242452 355019 450268 659321 710038 787969 1318642 1420076 1575938 2485133 2637284 3151876 4615247 4970266 9230494 9940532 18460988 32306729 64613458 129226916