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2252684736 = 26332944953
BaseRepresentation
bin1000011001000101…
…0011110111000000
312210222211020112000
42012101103313000
514103141402421
61011310504000
7106552334661
oct20621236700
95728736460
102252684736
11a56644425
1252a505000
1329b919a63
14175273368
15d2b77226
hex86453dc0

2252684736 has 112 divisors (see below), whose sum is σ = 6850989600. Its totient is φ = 724985856.

The previous prime is 2252684659. The next prime is 2252684767. The reversal of 2252684736 is 6374862522.

It is a junction number, because it is equal to n+sod(n) for n = 2252684691 and 2252684700.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 27636 + ... + 72588.

It is an arithmetic number, because the mean of its divisors is an integer number (61169550).

Almost surely, 22252684736 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 2252684736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425494800).

2252684736 is an abundant number, since it is smaller than the sum of its proper divisors (4598304864).

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

2252684736 is a wasteful number, since it uses less digits than its factorization.

2252684736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45003 (or 44987 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 2252684736 is about 47462.4560679280. The cubic root of 2252684736 is about 1310.8916750402.

The spelling of 2252684736 in words is "two billion, two hundred fifty-two million, six hundred eighty-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 144 174 192 216 232 261 288 348 432 464 522 576 696 783 864 928 1044 1392 1566 1728 1856 2088 2784 3132 4176 5568 6264 8352 12528 16704 25056 44953 50112 89906 134859 179812 269718 359624 404577 539436 719248 809154 1078872 1213731 1303637 1438496 1618308 2157744 2427462 2607274 2876992 3236616 3910911 4315488 4854924 5214548 6473232 7821822 8630976 9709848 10429096 11732733 12946464 15643644 19419696 20858192 23465466 25892928 31287288 35198199 38839392 41716384 46930932 62574576 70396398 77678784 83432768 93861864 125149152 140792796 187723728 250298304 281585592 375447456 563171184 750894912 1126342368 2252684736