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226095680 = 2654911439
BaseRepresentation
bin11010111100111…
…11001001000000
3120202102211222002
431132133021000
5430340030210
634234003132
75413532036
oct1536371100
9522384862
10226095680
11106697038
12638764a8
1337ac3135
1422056556
1514cb14a5
hexd79f240

226095680 has 56 divisors (see below), whose sum is σ = 539861760. Its totient is φ = 90191360.

The previous prime is 226095647. The next prime is 226095697. The reversal of 226095680 is 86590622.

226095680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2260956802 = 102238513029324800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

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, 156401 + ... + 157839.

Almost surely, 2226095680 is an apocalyptic number.

226095680 is a gapful number since it is divisible by the number (20) 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 226095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269930880).

226095680 is an abundant number, since it is smaller than the sum of its proper divisors (313766080).

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

226095680 is a wasteful number, since it uses less digits than its factorization.

226095680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 226095680 is about 15036.4783110940. The cubic root of 226095680 is about 609.2058823443.

The spelling of 226095680 in words is "two hundred twenty-six million, ninety-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 491 982 1439 1964 2455 2878 3928 4910 5756 7195 7856 9820 11512 14390 15712 19640 23024 28780 31424 39280 46048 57560 78560 92096 115120 157120 230240 460480 706549 1413098 2826196 3532745 5652392 7065490 11304784 14130980 22609568 28261960 45219136 56523920 113047840 226095680