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2234075760 = 2432573179181
BaseRepresentation
bin1000010100101001…
…0100101001110000
312202200210210210200
42011022110221300
514033410411020
61005403555200
7106235221260
oct20512245160
95680723720
102234075760
11a47094204
1252422bb00
13297b02827
141729cb7a0
15d11ed590
hex85294a70

2234075760 has 480 divisors, whose sum is σ = 9012756480. Its totient is φ = 485222400.

The previous prime is 2234075759. The next prime is 2234075777. The reversal of 2234075760 is 675704322.

It is a happy number.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12342870 + ... + 12343050.

It is an arithmetic number, because the mean of its divisors is an integer number (18776576).

Almost surely, 22234075760 is an apocalyptic number.

2234075760 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 2234075760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4506378240).

2234075760 is an abundant number, since it is smaller than the sum of its proper divisors (6778680720).

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

2234075760 is a wasteful number, since it uses less digits than its factorization.

2234075760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 2234075760 is about 47266.0106207410. The cubic root of 2234075760 is about 1307.2720186672.

The spelling of 2234075760 in words is "two billion, two hundred thirty-four million, seventy-five thousand, seven hundred sixty".