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2206597248 = 27333112053
BaseRepresentation
bin1000001110000110…
…0000000010000000
312200210002202101000
42003201200002000
514004342102443
61002543012000
7105452524062
oct20341400200
95623082330
102206597248
11a32626199
12516b9a000
1329220145b
1416d0b7732
15cdac18d3
hex83860080

2206597248 has 128 divisors (see below), whose sum is σ = 6536649600. Its totient is φ = 732810240.

The previous prime is 2206597241. The next prime is 2206597273. The reversal of 2206597248 is 8427956022.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2206597241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1073790 + ... + 1075842.

It is an arithmetic number, because the mean of its divisors is an integer number (51067575).

Almost surely, 22206597248 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 2206597248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3268324800).

2206597248 is an abundant number, since it is smaller than the sum of its proper divisors (4330052352).

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

2206597248 is a wasteful number, since it uses less digits than its factorization.

2206597248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2206597248 is about 46974.4318539352. The cubic root of 2206597248 is about 1301.8901986446.

The spelling of 2206597248 in words is "two billion, two hundred six million, five hundred ninety-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 311 384 432 576 622 864 933 1152 1244 1728 1866 2053 2488 2799 3456 3732 4106 4976 5598 6159 7464 8212 8397 9952 11196 12318 14928 16424 16794 18477 19904 22392 24636 29856 32848 33588 36954 39808 44784 49272 55431 59712 65696 67176 73908 89568 98544 110862 119424 131392 134352 147816 179136 197088 221724 262784 268704 295632 358272 394176 443448 537408 591264 638483 788352 886896 1074816 1182528 1276966 1773792 1915449 2365056 2553932 3547584 3830898 5107864 5746347 7095168 7661796 10215728 11492694 15323592 17239041 20431456 22985388 30647184 34478082 40862912 45970776 61294368 68956164 81725824 91941552 122588736 137912328 183883104 245177472 275824656 367766208 551649312 735532416 1103298624 2206597248