Search a number
-
+
226061248 = 2671792819
BaseRepresentation
bin11010111100101…
…10101111000000
3120202101002201211
431132112233000
5430332424443
634233135504
75413326460
oct1536265700
9522332654
10226061248
11106673186
126385a594
1337ab056a
1422047ba0
1514ca619d
hexd796bc0

226061248 has 56 divisors (see below), whose sum is σ = 515721600. Its totient is φ = 96307968.

The previous prime is 226061239. The next prime is 226061267. The reversal of 226061248 is 842160622.

226061248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×2260612482 = 102207375694635008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78783 + ... + 81601.

Almost surely, 2226061248 is an apocalyptic number.

226061248 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 226061248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257860800).

226061248 is an abundant number, since it is smaller than the sum of its proper divisors (289660352).

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

226061248 is a wasteful number, since it uses less digits than its factorization.

226061248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017 (or 3007 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 226061248 is about 15035.3333185533. Note that the first 4 decimals coincide. The cubic root of 226061248 is about 609.1749555528.

The spelling of 226061248 in words is "two hundred twenty-six million, sixty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 179 224 358 448 716 1253 1432 2506 2819 2864 5012 5638 5728 10024 11276 11456 19733 20048 22552 39466 40096 45104 78932 80192 90208 157864 180416 315728 504601 631456 1009202 1262912 2018404 3532207 4036808 7064414 8073616 14128828 16147232 28257656 32294464 56515312 113030624 226061248