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1000226304 = 29327112819
BaseRepresentation
bin111011100111100…
…011111000000000
32120201002202112200
4323213203320000
54022024220204
6243130153200
733533532450
oct7347437000
92521082480
101000226304
11473668910
1223ab82800
1312c2b91ac
1496ba9d60
155cc28539
hex3b9e3e00

1000226304 has 240 divisors, whose sum is σ = 3600305280. Its totient is φ = 259706880.

The previous prime is 1000226287. The next prime is 1000226321. The reversal of 1000226304 is 4036220001.

It is a happy number.

1000226304 is a `hidden beast` number, since 10 + 0 + 0 + 22 + 630 + 4 = 666.

1000226304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1000226287) and next prime (1000226321).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 353407 + ... + 356225.

It is an arithmetic number, because the mean of its divisors is an integer number (15001272).

Almost surely, 21000226304 is an apocalyptic number.

1000226304 is a gapful number since it is divisible by the number (14) 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 1000226304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800152640).

1000226304 is an abundant number, since it is smaller than the sum of its proper divisors (2600078976).

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

1000226304 is a wasteful number, since it uses less digits than its factorization.

1000226304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1000226304 is about 31626.3545796856. The cubic root of 1000226304 is about 1000.0754289770.

Adding to 1000226304 its reverse (4036220001), we get a palindrome (5036446305).

The spelling of 1000226304 in words is "one billion, two hundred twenty-six thousand, three hundred four".