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226908906 = 237419829
BaseRepresentation
bin11011000011001…
…01101011101010
3120210222011111120
431201211223222
5431042041111
634303240110
75423460000
oct1541455352
9523864446
10226908906
111070a2024
1263ba9036
1338019333
14221c8a70
1514dc2406
hexd865aea

226908906 has 80 divisors (see below), whose sum is σ = 557959200. Its totient is φ = 61344864.

The previous prime is 226908881. The next prime is 226908931. The reversal of 226908906 is 609809622.

It is an interprime number because it is at equal distance from previous prime (226908881) and next prime (226908931).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 273300 + ... + 274128.

It is an arithmetic number, because the mean of its divisors is an integer number (6974490).

Almost surely, 2226908906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226908906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278979600).

226908906 is an abundant number, since it is smaller than the sum of its proper divisors (331050294).

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

226908906 is an equidigital number, since it uses as much as digits as its factorization.

226908906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 226908906 is about 15063.4958094063. The cubic root of 226908906 is about 609.9354101637.

The spelling of 226908906 in words is "two hundred twenty-six million, nine hundred eight thousand, nine hundred six".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 266 294 343 399 686 798 829 931 1029 1658 1862 2058 2401 2487 2793 4802 4974 5586 5803 6517 7203 11606 13034 14406 15751 17409 19551 31502 34818 39102 40621 45619 47253 81242 91238 94506 110257 121863 136857 220514 243726 273714 284347 330771 568694 661542 771799 853041 1543598 1706082 1990429 2315397 3980858 4630794 5402593 5971287 10805186 11942574 16207779 32415558 37818151 75636302 113454453 226908906