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226186240 = 210576311
BaseRepresentation
bin11010111101101…
…01010000000000
3120202121110012011
431132311100000
5430400424430
634235542304
75414360050
oct1536652000
9522543164
10226186240
11106749085
12638ba994
1337b25417
142207b560
1514ccd22a
hexd7b5400

226186240 has 88 divisors (see below), whose sum is σ = 620191872. Its totient is φ = 77537280.

The previous prime is 226186223. The next prime is 226186267. The reversal of 226186240 is 42681622.

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, 32685 + ... + 38995.

Almost surely, 2226186240 is an apocalyptic number.

226186240 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 226186240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310095936).

226186240 is an abundant number, since it is smaller than the sum of its proper divisors (394005632).

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

226186240 is an equidigital number, since it uses as much as digits as its factorization.

226186240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6343 (or 6325 counting only the distinct ones).

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

The square root of 226186240 is about 15039.4893530332. The cubic root of 226186240 is about 609.2872082686.

The spelling of 226186240 in words is "two hundred twenty-six million, one hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2240 2560 3584 4480 5120 6311 7168 8960 12622 17920 25244 31555 35840 44177 50488 63110 88354 100976 126220 176708 201952 220885 252440 353416 403904 441770 504880 706832 807808 883540 1009760 1413664 1615616 1767080 2019520 2827328 3231232 3534160 4039040 5654656 6462464 7068320 8078080 11309312 14136640 16156160 22618624 28273280 32312320 45237248 56546560 113093120 226186240