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226374368 = 25111514259
BaseRepresentation
bin11010111111000…
…11001011100000
3120202222000020212
431133203023200
5430422434433
634243553252
75416102403
oct1537431340
9522860225
10226374368
11106867460
126398b828
1337b8cc3c
14220c9d3a
1514d18d48
hexd7e32e0

226374368 has 48 divisors (see below), whose sum is σ = 489525120. Its totient is φ = 102192000.

The previous prime is 226374367. The next prime is 226374371. The reversal of 226374368 is 863473622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226374367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51023 + ... + 55281.

It is an arithmetic number, because the mean of its divisors is an integer number (10198440).

Almost surely, 2226374368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226374368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244762560).

226374368 is an abundant number, since it is smaller than the sum of its proper divisors (263150752).

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

226374368 is a wasteful number, since it uses less digits than its factorization.

226374368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4431 (or 4423 counting only the distinct ones).

The product of its digits is 290304, while the sum is 41.

The square root of 226374368 is about 15045.7425207266. The cubic root of 226374368 is about 609.4560841760.

The spelling of 226374368 in words is "two hundred twenty-six million, three hundred seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 151 176 302 352 604 1208 1661 2416 3322 4259 4832 6644 8518 13288 17036 26576 34072 46849 53152 68144 93698 136288 187396 374792 643109 749584 1286218 1499168 2572436 5144872 7074199 10289744 14148398 20579488 28296796 56593592 113187184 226374368