Search a number
-
+
226060308 = 22343171317
BaseRepresentation
bin11010111100101…
…10100000010100
3120202101001110000
431132112200110
5430332412213
634233131300
75413323645
oct1536264024
9522331400
10226060308
11106672501
1263859b30
1337aaccc6
14220476cc
1514ca5c73
hexd796814

226060308 has 120 divisors (see below), whose sum is σ = 620573184. Its totient is φ = 71668800.

The previous prime is 226060297. The next prime is 226060313. The reversal of 226060308 is 803060622.

226060308 is a `hidden beast` number, since 22 + 606 + 0 + 30 + 8 = 666.

It is a super-2 number, since 2×2260603082 = 102206525706109728, which contains 22 as substring.

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

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 712966 + ... + 713282.

Almost surely, 2226060308 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 226060308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310286592).

226060308 is an abundant number, since it is smaller than the sum of its proper divisors (394512876).

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

226060308 is a wasteful number, since it uses less digits than its factorization.

226060308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 226060308 is about 15035.3020588214. The cubic root of 226060308 is about 609.1741112017.

The spelling of 226060308 in words is "two hundred twenty-six million, sixty thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 71 81 93 108 124 142 162 186 213 279 284 317 324 372 426 558 634 639 837 852 951 1116 1268 1278 1674 1902 1917 2201 2511 2556 2853 3348 3804 3834 4402 5022 5706 5751 6603 7668 8559 8804 9827 10044 11412 11502 13206 17118 19654 19809 22507 23004 25677 26412 29481 34236 39308 39618 45014 51354 58962 59427 67521 79236 88443 90028 102708 117924 118854 135042 176886 178281 202563 237708 265329 270084 353772 356562 405126 530658 607689 697717 713124 795987 810252 1061316 1215378 1395434 1591974 1823067 2093151 2430756 2790868 3183948 3646134 4186302 6279453 7292268 8372604 12558906 18838359 25117812 37676718 56515077 75353436 113030154 226060308