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2245147728 = 2431511571973
BaseRepresentation
bin1000010111010010…
…0011110001010000
312210110122022200120
42011310203301100
514044224211403
61010441150240
7106431304125
oct20564436120
95713568616
102245147728
11a5236679a
12527a8b380
1329a1ab2a5
1417427074c
15d2188e53
hex85d23c50

2245147728 has 80 divisors (see below), whose sum is σ = 5878540416. Its totient is φ = 738316800.

The previous prime is 2245147703. The next prime is 2245147757. The reversal of 2245147728 is 8277415422.

It is a self number, because there is not a number n which added to its sum of digits gives 2245147728.

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, 1136950 + ... + 1138922.

Almost surely, 22245147728 is an apocalyptic number.

It is an amenable number.

2245147728 is an abundant number, since it is smaller than the sum of its proper divisors (3633392688).

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

2245147728 is a wasteful number, since it uses less digits than its factorization.

2245147728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 2286 counting only the distinct ones).

The product of its digits is 250880, while the sum is 42.

The square root of 2245147728 is about 47382.9898592311. The cubic root of 2245147728 is about 1309.4280524814.

The spelling of 2245147728 in words is "two billion, two hundred forty-five million, one hundred forty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 151 157 302 314 453 471 604 628 906 942 1208 1256 1812 1884 1973 2416 2512 3624 3768 3946 5919 7248 7536 7892 11838 15784 23676 23707 31568 47352 47414 71121 94704 94828 142242 189656 284484 297923 309761 379312 568968 595846 619522 893769 929283 1137936 1191692 1239044 1787538 1858566 2383384 2478088 3575076 3717132 4766768 4956176 7150152 7434264 14300304 14868528 46773911 93547822 140321733 187095644 280643466 374191288 561286932 748382576 1122573864 2245147728