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2234975040 = 2632517191239
BaseRepresentation
bin1000010100110111…
…0000001101000000
312202202111111101100
42011031300031000
514034123200130
61005435134400
7106245655134
oct20515601500
95682444340
102234975040
11a47648911
125245a4400
13298058c4c
14172b833c4
15d1329c60
hex85370340

2234975040 has 336 divisors, whose sum is σ = 8216432640. Its totient is φ = 555663360.

The previous prime is 2234975027. The next prime is 2234975051. The reversal of 2234975040 is 405794322.

It is a super-2 number, since 2×22349750402 = 9990226858846003200, which 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 = 2234974986 and 2234975004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9351241 + ... + 9351479.

Almost surely, 22234975040 is an apocalyptic number.

2234975040 is a gapful number since it is divisible by the number (20) 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 2234975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4108216320).

2234975040 is an abundant number, since it is smaller than the sum of its proper divisors (5981457600).

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

2234975040 is a wasteful number, since it uses less digits than its factorization.

2234975040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 457 counting only the distinct ones).

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

The square root of 2234975040 is about 47275.5226306384. The cubic root of 2234975040 is about 1307.4474000485.

The spelling of 2234975040 in words is "two billion, two hundred thirty-four million, nine hundred seventy-five thousand, forty".