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2252416624 = 242694191249
BaseRepresentation
bin1000011001000001…
…0010011001110000
312210222022121201221
42012100102121300
514103104312444
61011301034424
7106550140213
oct20620223160
95728277657
102252416624
11a56480a47
1252a3b5a14
1329b854a03
1417520377a
15d2b22a84
hex86412670

2252416624 has 40 divisors (see below), whose sum is σ = 4394250000. Its totient is φ = 1118447616.

The previous prime is 2252416609. The next prime is 2252416667. The reversal of 2252416624 is 4266142522.

It is a self number, because there is not a number n which added to its sum of digits gives 2252416624.

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 7 ways as a sum of consecutive naturals, for example, 1802752 + ... + 1804000.

It is an arithmetic number, because the mean of its divisors is an integer number (109856250).

Almost surely, 22252416624 is an apocalyptic number.

It is an amenable number.

2252416624 is a deficient number, since it is larger than the sum of its proper divisors (2141833376).

2252416624 is a wasteful number, since it uses less digits than its factorization.

2252416624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1939 counting only the distinct ones).

The product of its digits is 46080, while the sum is 34.

The square root of 2252416624 is about 47459.6315198506. The cubic root of 2252416624 is about 1310.8396660266.

The spelling of 2252416624 in words is "two billion, two hundred fifty-two million, four hundred sixteen thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 269 419 538 838 1076 1249 1676 2152 2498 3352 4304 4996 6704 9992 19984 112711 225422 335981 450844 523331 671962 901688 1046662 1343924 1803376 2093324 2687848 4186648 5375696 8373296 140776039 281552078 563104156 1126208312 2252416624