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1226105316 = 2233157167433
BaseRepresentation
bin100100100010100…
…1110000111100100
310011110010121022000
41021011032013210
510002340332231
6321355405300
742245503032
oct11105160744
93143117260
101226105316
1157a117087
122a2753830
13167034807
14b8ba7552
15729956e6
hex4914e1e4

1226105316 has 96 divisors (see below), whose sum is σ = 3225626880. Its totient is φ = 402734592.

The previous prime is 1226105291. The next prime is 1226105327. The reversal of 1226105316 is 6135016221.

1226105316 is a `hidden beast` number, since 12 + 2 + 610 + 5 + 31 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1226105316.

It is an unprimeable number.

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, 2831436 + ... + 2831868.

It is an arithmetic number, because the mean of its divisors is an integer number (33600280).

Almost surely, 21226105316 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 1226105316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612813440).

1226105316 is an abundant number, since it is smaller than the sum of its proper divisors (1999521564).

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

1226105316 is a wasteful number, since it uses less digits than its factorization.

1226105316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1226105316 is about 35015.7866683015. The cubic root of 1226105316 is about 1070.3091999533.

The spelling of 1226105316 in words is "one billion, two hundred twenty-six million, one hundred five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 157 167 314 334 433 471 501 628 668 866 942 1002 1299 1413 1503 1732 1884 2004 2598 2826 3006 3897 4239 4509 5196 5652 6012 7794 8478 9018 11691 15588 16956 18036 23382 26219 46764 52438 67981 72311 78657 104876 135962 144622 157314 203943 216933 235971 271924 289244 314628 407886 433866 471942 611829 650799 707913 815772 867732 943884 1223658 1301598 1415826 1835487 1952397 2447316 2603196 2831652 3670974 3904794 7341948 7809588 11352827 22705654 34058481 45411308 68116962 102175443 136233924 204350886 306526329 408701772 613052658 1226105316