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2243004312 = 2334719310303
BaseRepresentation
bin1000010110110001…
…1000011110011000
312210022121102110210
42011230120132120
514043202114222
61010323211120
7106404136113
oct20554303630
95708542423
102243004312
11a5113237a
12527216aa0
1329990a7b3
14173c7357a
15d1db3d0c
hex85b18798

2243004312 has 64 divisors (see below), whose sum is σ = 5757050880. Its totient is φ = 727898112.

The previous prime is 2243004311. The next prime is 2243004329. The reversal of 2243004312 is 2134003422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243004311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212553 + ... + 222855.

It is an arithmetic number, because the mean of its divisors is an integer number (89953920).

Almost surely, 22243004312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2243004312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878525440).

2243004312 is an abundant number, since it is smaller than the sum of its proper divisors (3514046568).

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

2243004312 is a wasteful number, since it uses less digits than its factorization.

2243004312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10552 (or 10548 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2243004312 is about 47360.3664681767. The cubic root of 2243004312 is about 1309.0112213102.

Adding to 2243004312 its reverse (2134003422), we get a palindrome (4377007734).

The spelling of 2243004312 in words is "two billion, two hundred forty-three million, four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 193 282 376 386 564 579 772 1128 1158 1544 2316 4632 9071 10303 18142 20606 27213 30909 36284 41212 54426 61818 72568 82424 108852 123636 217704 247272 484241 968482 1452723 1936964 1988479 2905446 3873928 3976958 5810892 5965437 7953916 11621784 11930874 15907832 23861748 47723496 93458513 186917026 280375539 373834052 560751078 747668104 1121502156 2243004312