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226248516 = 2232132321019
BaseRepresentation
bin11010111110001…
…00011101000100
3120202201121121200
431133010131010
5430404423031
634241142500
75415036444
oct1537043504
9522647550
10226248516
1110679094a
126392aa30
1337b47880
1422096124
1514ce18e6
hexd7c4744

226248516 has 72 divisors (see below), whose sum is σ = 642707520. Its totient is φ = 66585024.

The previous prime is 226248497. The next prime is 226248521. The reversal of 226248516 is 615842622.

It is a happy number.

226248516 is a `hidden beast` number, since 22 + 624 + 8 + 5 + 1 + 6 = 666.

226248516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255 + ... + 21273.

Almost surely, 2226248516 is an apocalyptic number.

226248516 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 226248516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321353760).

226248516 is an abundant number, since it is smaller than the sum of its proper divisors (416459004).

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

226248516 is a wasteful number, since it uses less digits than its factorization.

226248516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21065 (or 21060 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 226248516 is about 15041.5596265813. The cubic root of 226248516 is about 609.3431216144.

The spelling of 226248516 in words is "two hundred twenty-six million, two hundred forty-eight thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 299 414 468 598 828 897 1196 1794 2691 3588 5382 10764 21019 42038 63057 84076 126114 189171 252228 273247 378342 483437 546494 756684 819741 966874 1092988 1450311 1639482 1933748 2459223 2900622 3278964 4350933 4918446 5801244 6284681 8701866 9836892 12569362 17403732 18854043 25138724 37708086 56562129 75416172 113124258 226248516