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9274225140 = 22335235373193
BaseRepresentation
bin10001010001100100…
…10111000111110100
3212221100002110012000
420220302113013310
5122443200201030
64132134455300
7445552420155
oct105062270764
925840073160
109274225140
113a2a070684
121969b04530
13b4a5252ab
1463d9d992c
153942e8860
hex228c971f4

9274225140 has 384 divisors, whose sum is σ = 31257031680. Its totient is φ = 2277310464.

The previous prime is 9274225127. The next prime is 9274225141. The reversal of 9274225140 is 415224729.

9274225140 is a `hidden beast` number, since 92 + 7 + 422 + 5 + 140 = 666.

It is a super-2 number, since 2×92742251402 (a number of 21 digits) contains 22 as substring.

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 = 9274225095 and 9274225104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9274225141) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48052884 + ... + 48053076.

It is an arithmetic number, because the mean of its divisors is an integer number (81398520).

Almost surely, 29274225140 is an apocalyptic number.

9274225140 is a gapful number since it is divisible by the number (90) 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 9274225140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15628515840).

9274225140 is an abundant number, since it is smaller than the sum of its proper divisors (21982806540).

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

9274225140 is a wasteful number, since it uses less digits than its factorization.

9274225140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 9274225140 is about 96302.7784645905. The cubic root of 9274225140 is about 2100.9991571895. Note that the first 3 decimals are identical.

Adding to 9274225140 its reverse (415224729), we get a palindrome (9689449869).

The spelling of 9274225140 in words is "nine billion, two hundred seventy-four million, two hundred twenty-five thousand, one hundred forty".