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226345392 = 243271323751
BaseRepresentation
bin11010111110111…
…00000110110000
3120202220112111200
431133130012300
5430421023032
634243211200
75415622050
oct1537340660
9522815450
10226345392
11106847709
1263976b00
1337b7c9b0
14220bd560
1514d1047c
hexd7dc1b0

226345392 has 240 divisors, whose sum is σ = 814614528. Its totient is φ = 57024000.

The previous prime is 226345313. The next prime is 226345393. The reversal of 226345392 is 293543622.

It is a happy number.

226345392 is a `hidden beast` number, since 2 + 263 + 4 + 5 + 392 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226345393) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 301017 + ... + 301767.

Almost surely, 2226345392 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 226345392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407307264).

226345392 is an abundant number, since it is smaller than the sum of its proper divisors (588269136).

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

226345392 is a wasteful number, since it uses less digits than its factorization.

226345392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 799 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 226345392 is about 15044.7795597011. The cubic root of 226345392 is about 609.4300795342.

The spelling of 226345392 in words is "two hundred twenty-six million, three hundred forty-five thousand, three hundred ninety-two".