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226743072 = 25311712017
BaseRepresentation
bin11011000001111…
…01001100100000
3120210122202000120
431200331030200
5431021234242
634255520240
75422166343
oct1540751440
9523582016
10226743072
11106a99476
1263b29080
1337c8b9ca
142218445a
1514d8d1ec
hexd83d320

226743072 has 48 divisors (see below), whose sum is σ = 596004192. Its totient is φ = 75479040.

The previous prime is 226743071. The next prime is 226743089. The reversal of 226743072 is 270347622.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (226743071) 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, 111408 + ... + 113424.

It is an arithmetic number, because the mean of its divisors is an integer number (12416754).

Almost surely, 2226743072 is an apocalyptic number.

It is an amenable number.

226743072 is an abundant number, since it is smaller than the sum of its proper divisors (369261120).

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

226743072 is a wasteful number, since it uses less digits than its factorization.

226743072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3201 (or 3193 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 226743072 is about 15057.9903041541. The cubic root of 226743072 is about 609.7867856465.

The spelling of 226743072 in words is "two hundred twenty-six million, seven hundred forty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1171 2017 2342 3513 4034 4684 6051 7026 8068 9368 12102 14052 16136 18736 24204 28104 32272 37472 48408 56208 64544 96816 112416 193632 2361907 4723814 7085721 9447628 14171442 18895256 28342884 37790512 56685768 75581024 113371536 226743072