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226372016 = 24131935639
BaseRepresentation
bin11010111111000…
…10100110110000
3120202221220000202
431133202212300
5430422401031
634243534332
75416062503
oct1537424660
9522856022
10226372016
11106865712
126398a3a8
1337b8bb50
14220c913a
1514d182cb
hexd7e29b0

226372016 has 40 divisors (see below), whose sum is σ = 474865440. Its totient is φ = 103919616.

The previous prime is 226372001. The next prime is 226372019. The reversal of 226372016 is 610273622.

It is a self number, because there is not a number n which added to its sum of digits gives 226372016.

It is not an unprimeable number, because it can be changed into a prime (226372019) 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, 37325 + ... + 42963.

It is an arithmetic number, because the mean of its divisors is an integer number (11871636).

Almost surely, 2226372016 is an apocalyptic number.

226372016 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 226372016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237432720).

226372016 is an abundant number, since it is smaller than the sum of its proper divisors (248493424).

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

226372016 is a wasteful number, since it uses less digits than its factorization.

226372016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5853 (or 5847 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 226372016 is about 15045.6643588776. The cubic root of 226372016 is about 609.4539734457.

The spelling of 226372016 in words is "two hundred twenty-six million, three hundred seventy-two thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 193 208 386 772 1544 2509 3088 5018 5639 10036 11278 20072 22556 40144 45112 73307 90224 146614 293228 586456 1088327 1172912 2176654 4353308 8706616 14148251 17413232 28296502 56593004 113186008 226372016