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2240891730 = 2345711193161
BaseRepresentation
bin1000010110010001…
…0100101101010010
312210011122002120000
42011210110231102
514042132013410
61010210030430
7106350160020
oct20544245522
95704562500
102240891730
11a4aa1a140
12526578416
1329934b04c
14173883710
15d1ae7dc0
hex85914b52

2240891730 has 640 divisors, whose sum is σ = 8296611840. Its totient is φ = 419904000.

The previous prime is 2240891729. The next prime is 2240891753. The reversal of 2240891730 is 371980422.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 36735900 + ... + 36735960.

It is an arithmetic number, because the mean of its divisors is an integer number (12963456).

Almost surely, 22240891730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240891730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4148305920).

2240891730 is an abundant number, since it is smaller than the sum of its proper divisors (6055720110).

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

2240891730 is a wasteful number, since it uses less digits than its factorization.

2240891730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2240891730 is about 47338.0579449559. The cubic root of 2240891730 is about 1308.6001265146.

The spelling of 2240891730 in words is "two billion, two hundred forty million, eight hundred ninety-one thousand, seven hundred thirty".