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226150496 = 25111373677
BaseRepresentation
bin11010111101011…
…00100001100000
3120202112122011022
431132230201200
5430343303441
634235105012
75414150615
oct1536544140
9522478138
10226150496
11106724240
12638a2168
1337b12080
142206c50c
1514cc284b
hexd7ac860

226150496 has 96 divisors (see below), whose sum is σ = 531020448. Its totient is φ = 93450240.

The previous prime is 226150489. The next prime is 226150501. The reversal of 226150496 is 694051622.

It is a happy number.

It is a super-2 number, since 2×2261504962 = 102288093682092032, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 333710 + ... + 334386.

It is an arithmetic number, because the mean of its divisors is an integer number (5531463).

Almost surely, 2226150496 is an apocalyptic number.

226150496 is a gapful number since it is divisible by the number (26) 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 226150496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265510224).

226150496 is an abundant number, since it is smaller than the sum of its proper divisors (304869952).

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

226150496 is a wasteful number, since it uses less digits than its factorization.

226150496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 226150496 is about 15038.3009678620. The cubic root of 226150496 is about 609.2551115486.

The spelling of 226150496 in words is "two hundred twenty-six million, one hundred fifty thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 73 88 104 143 146 176 208 286 292 352 416 572 584 677 803 949 1144 1168 1354 1606 1898 2288 2336 2708 3212 3796 4576 5416 6424 7447 7592 8801 10439 10832 12848 14894 15184 17602 20878 21664 25696 29788 30368 35204 41756 49421 59576 70408 83512 96811 98842 119152 140816 167024 193622 197684 238304 281632 334048 387244 395368 543631 642473 774488 790736 1087262 1284946 1548976 1581472 2174524 2569892 3097952 4349048 5139784 7067203 8698096 10279568 14134406 17396192 20559136 28268812 56537624 113075248 226150496