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1042224300 = 22335213231291
BaseRepresentation
bin111110000111110…
…001010010101100
32200122010110222000
4332013301102230
54113302134200
6251230252300
734553521545
oct7607612254
92618113860
101042224300
114953435a7
12251057090
13137c02290
149c5bd4cc
1561772300
hex3e1f14ac

1042224300 has 288 divisors, whose sum is σ = 3768092160. Its totient is φ = 245203200.

The previous prime is 1042224289. The next prime is 1042224307. The reversal of 1042224300 is 34222401.

1042224300 is a `hidden beast` number, since 1 + 0 + 422 + 243 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042224307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 806655 + ... + 807945.

Almost surely, 21042224300 is an apocalyptic number.

1042224300 is a gapful number since it is divisible by the number (10) 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 1042224300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884046080).

1042224300 is an abundant number, since it is smaller than the sum of its proper divisors (2725867860).

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

1042224300 is a wasteful number, since it uses less digits than its factorization.

1042224300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1042224300 is about 32283.4988810073. The cubic root of 1042224300 is about 1013.8811877177.

Adding to 1042224300 its reverse (34222401), we get a palindrome (1076446701).

The spelling of 1042224300 in words is "one billion, forty-two million, two hundred twenty-four thousand, three hundred".