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226738512 = 24327113132
BaseRepresentation
bin11011000001111…
…00000101010000
3120210122111202200
431200330011100
5431021113022
634255443200
75422150140
oct1540740520
9523574680
10226738512
11106a96000
1263b26500
1337c89900
1422182920
1514d8bbac
hexd83c150

226738512 has 360 divisors, whose sum is σ = 863748288. Its totient is φ = 54362880.

The previous prime is 226738493. The next prime is 226738541. The reversal of 226738512 is 215837622.

226738512 is a `hidden beast` number, since 2 + 267 + 385 + 12 = 666.

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

Its product of digits (40320) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17441418 + ... + 17441430.

Almost surely, 2226738512 is an apocalyptic number.

226738512 is a gapful number since it is divisible by the number (22) 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 226738512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431874144).

226738512 is an abundant number, since it is smaller than the sum of its proper divisors (637009776).

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

226738512 is a wasteful number, since it uses less digits than its factorization.

226738512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 36 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 226738512 is about 15057.8388887649. The cubic root of 226738512 is about 609.7826978386.

The spelling of 226738512 in words is "two hundred twenty-six million, seven hundred thirty-eight thousand, five hundred twelve".