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226583028 = 223372383157
BaseRepresentation
bin11011000000101…
…10000111110100
3120210100121111000
431200112013310
5431001124103
634252243300
75420631630
oct1540260764
9523317430
10226583028
1110699a201
1263a70530
1337c33bc9
1422141dc0
1514d5aaa3
hexd8161f4

226583028 has 192 divisors, whose sum is σ = 713502720. Its totient is φ = 60787584.

The previous prime is 226583023. The next prime is 226583029. The reversal of 226583028 is 820385622.

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

It is a junction number, because it is equal to n+sod(n) for n = 226582983 and 226583001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226583023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1443126 + ... + 1443282.

It is an arithmetic number, because the mean of its divisors is an integer number (3716160).

Almost surely, 2226583028 is an apocalyptic number.

226583028 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 226583028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356751360).

226583028 is an abundant number, since it is smaller than the sum of its proper divisors (486919692).

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

226583028 is a wasteful number, since it uses less digits than its factorization.

226583028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 226583028 is about 15052.6751110891. The cubic root of 226583028 is about 609.6432815385.

The spelling of 226583028 in words is "two hundred twenty-six million, five hundred eighty-three thousand, twenty-eight".