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226673748 = 223374171103
BaseRepresentation
bin11011000001011…
…00010001010100
3120210112012221000
431200230101110
5431012024443
634254223300
75421460260
oct1540542124
9523465830
10226673748
11106a51384
1263ab4b30
1337c662a2
14221670a0
1514d778d3
hexd82c454

226673748 has 192 divisors, whose sum is σ = 704471040. Its totient is φ = 61689600.

The previous prime is 226673731. The next prime is 226673749. The reversal of 226673748 is 847376622.

226673748 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226673749) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2200665 + ... + 2200767.

It is an arithmetic number, because the mean of its divisors is an integer number (3669120).

Almost surely, 2226673748 is an apocalyptic number.

226673748 is a gapful number since it is divisible by the number (28) 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 226673748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352235520).

226673748 is an abundant number, since it is smaller than the sum of its proper divisors (477797292).

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

226673748 is a wasteful number, since it uses less digits than its factorization.

226673748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 227 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 226673748 is about 15055.6882273777. The cubic root of 226673748 is about 609.7246342908.

It can be divided in two parts, 2266737 and 48, that multiplied together give a triangular number (108803376 = T14751).

The spelling of 226673748 in words is "two hundred twenty-six million, six hundred seventy-three thousand, seven hundred forty-eight".