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4225794300 = 22365273132
BaseRepresentation
bin1111101111100000…
…1000000011111100
3101220111120121000000
43323320020003330
532123300404200
61535153234300
7206501442000
oct37370100374
911814517000
104225794300
111879394892
1299b262990
1352463a600
142c132c700
1519aec7300
hexfbe080fc

4225794300 has 756 divisors, whose sum is σ = 17361649200. Its totient is φ = 891596160.

The previous prime is 4225794283. The next prime is 4225794311. The reversal of 4225794300 is 34975224.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4225794300 is a `hidden beast` number, since 42 + 2 + 579 + 43 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

It is a super-3 number, since 3×42257943003 (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 325061094 + ... + 325061106.

Almost surely, 24225794300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4225794300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8680824600).

4225794300 is an abundant number, since it is smaller than the sum of its proper divisors (13135854900).

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

4225794300 is a wasteful number, since it uses less digits than its factorization.

4225794300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4225794300 is about 65006.1097128570. The cubic root of 4225794300 is about 1616.7248646401.

The spelling of 4225794300 in words is "four billion, two hundred twenty-five million, seven hundred ninety-four thousand, three hundred".