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226409424 = 24323205081
BaseRepresentation
bin11010111111010…
…11101111010000
3120210000210100020
431133223233100
5430430100144
634244423440
75416306533
oct1537535720
9523023306
10226409424
1110689082a
12639a7b80
1337ba2b97
14220d8a1a
1514d24419
hexd7ebbd0

226409424 has 40 divisors (see below), whose sum is σ = 610324032. Its totient is φ = 72188160.

The previous prime is 226409423. The next prime is 226409437. The reversal of 226409424 is 424904622.

It is a super-2 number, since 2×2264094242 = 102522454552023552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226409423) 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, 101437 + ... + 103644.

Almost surely, 2226409424 is an apocalyptic number.

226409424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

226409424 is an abundant number, since it is smaller than the sum of its proper divisors (383914608).

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

226409424 is a wasteful number, since it uses less digits than its factorization.

226409424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205115 (or 205109 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 226409424 is about 15046.9074563513. The cubic root of 226409424 is about 609.4875423749.

The spelling of 226409424 in words is "two hundred twenty-six million, four hundred nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 205081 410162 615243 820324 1230486 1640648 2460972 3281296 4716863 4921944 9433726 9843888 14150589 18867452 28301178 37734904 56602356 75469808 113204712 226409424