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225484709742 = 2334175642773
BaseRepresentation
bin1101000111111111101…
…1111001111101101110
3210120000102021002002000
43101333323321331232
512143243041202432
6251330343513130
722201502260215
oct3217773717556
9716012232060
10225484709742
118769a270896
123784a4587a6
13183560b5c96
14acb09a007c
155cea98e57c
hex347fef9f6e

225484709742 has 16 divisors (see below), whose sum is σ = 501077132880. Its totient is φ = 75161569896.

The previous prime is 225484709741. The next prime is 225484709761. The reversal of 225484709742 is 247907484522.

225484709742 is a `hidden beast` number, since 2 + 2 + 5 + 48 + 470 + 97 + 42 = 666.

It is a super-3 number, since 3×2254847097423 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 4175642773 = 225484709742 / (2 + 2 + 5 + 4 + 8 + 4 + 7 + 0 + 9 + 7 + 4 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225484709741) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2087821333 + ... + 2087821440.

It is an arithmetic number, because the mean of its divisors is an integer number (31317320805).

Almost surely, 2225484709742 is an apocalyptic number.

225484709742 is an abundant number, since it is smaller than the sum of its proper divisors (275592423138).

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

225484709742 is a wasteful number, since it uses less digits than its factorization.

225484709742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4175642784 (or 4175642778 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 225484709742 in words is "two hundred twenty-five billion, four hundred eighty-four million, seven hundred nine thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 4175642773 8351285546 12526928319 25053856638 37580784957 75161569914 112742354871 225484709742