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226492308 = 223372127337
BaseRepresentation
bin11010111111111…
…11111110010100
3120210012000001000
431133333332110
5430440223213
634250303300
75420103300
oct1537777624
9523160030
10226492308
11106938029
1263a27b30
1337c01823
142211ad00
1514d3dc73
hexd7fff94

226492308 has 144 divisors (see below), whose sum is σ = 690493440. Its totient is φ = 64012032.

The previous prime is 226492307. The next prime is 226492313. The reversal of 226492308 is 803294622.

226492308 is a `hidden beast` number, since 2 + 2 + 649 + 2 + 3 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226492303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 671916 + ... + 672252.

Almost surely, 2226492308 is an apocalyptic number.

226492308 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226492308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345246720).

226492308 is an abundant number, since it is smaller than the sum of its proper divisors (464001132).

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

226492308 is a wasteful number, since it uses less digits than its factorization.

226492308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 226492308 is about 15049.6613915397. The cubic root of 226492308 is about 609.5619070685.

The spelling of 226492308 in words is "two hundred twenty-six million, four hundred ninety-two thousand, three hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 127 147 189 196 252 254 294 337 378 381 441 508 588 674 756 762 882 889 1011 1143 1323 1348 1524 1764 1778 2022 2286 2359 2646 2667 3033 3429 3556 4044 4572 4718 5292 5334 6066 6223 6858 7077 8001 9099 9436 10668 12132 12446 13716 14154 16002 16513 18198 18669 21231 24003 24892 28308 32004 33026 36396 37338 42462 42799 48006 49539 56007 63693 66052 74676 84924 85598 96012 99078 112014 127386 128397 148617 168021 171196 198156 224028 254772 256794 297234 299593 336042 385191 445851 513588 594468 599186 672084 770382 891702 898779 1155573 1198372 1540764 1783404 1797558 2097151 2311146 2696337 3595116 4194302 4622292 5392674 6291453 8089011 8388604 10785348 12582906 16178022 18874359 25165812 32356044 37748718 56623077 75497436 113246154 226492308