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226308096 = 212327877
BaseRepresentation
bin11010111110100…
…11000000000000
3120202211122100100
431133103000000
5430413324341
634242322400
75415405240
oct1537230000
9522748310
10226308096
11106821693
1263959400
1337b68a21
14220adb20
1514d043b6
hexd7d3000

226308096 has 156 divisors (see below), whose sum is σ = 747936592. Its totient is φ = 64585728.

The previous prime is 226308073. The next prime is 226308119. The reversal of 226308096 is 690803622.

226308096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (226308073) and next prime (226308119).

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

It is a self number, because there is not a number n which added to its sum of digits gives 226308096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257610 + ... + 258486.

Almost surely, 2226308096 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 226308096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373968296).

226308096 is an abundant number, since it is smaller than the sum of its proper divisors (521628496).

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

226308096 is an equidigital number, since it uses as much as digits as its factorization.

226308096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 226308096 is about 15043.5400089208. The cubic root of 226308096 is about 609.3966048040.

The spelling of 226308096 in words is "two hundred twenty-six million, three hundred eight thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 877 896 1008 1024 1152 1344 1536 1754 1792 2016 2048 2304 2631 2688 3072 3508 3584 4032 4096 4608 5262 5376 6139 6144 7016 7168 7893 8064 9216 10524 10752 12278 12288 14032 14336 15786 16128 18417 18432 21048 21504 24556 28064 28672 31572 32256 36834 36864 42096 43008 49112 55251 56128 63144 64512 73668 84192 86016 98224 110502 112256 126288 129024 147336 168384 196448 221004 224512 252576 258048 294672 336768 392896 442008 449024 505152 589344 673536 785792 884016 898048 1010304 1178688 1347072 1571584 1768032 1796096 2020608 2357376 2694144 3143168 3536064 3592192 4041216 4714752 5388288 6286336 7072128 8082432 9429504 10776576 12572672 14144256 16164864 18859008 25145344 28288512 32329728 37718016 56577024 75436032 113154048 226308096