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2272660992 = 2932770457
BaseRepresentation
bin1000011101110110…
…0000111000000000
312212101102010210100
42013131200320000
514123300122432
61013303002400
7110214204540
oct20735407000
95771363710
102272660992
11a66948928
12535139400
132a2ac2424
14177b93320
15d47c107c
hex87760e00

2272660992 has 120 divisors (see below), whose sum is σ = 7496167536. Its totient is φ = 649322496.

The previous prime is 2272660991. The next prime is 2272661011. The reversal of 2272660992 is 2990662722.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2272660991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2973 + ... + 67484.

Almost surely, 22272660992 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 2272660992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3748083768).

2272660992 is an abundant number, since it is smaller than the sum of its proper divisors (5223506544).

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

2272660992 is an equidigital number, since it uses as much as digits as its factorization.

2272660992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70488 (or 70469 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2272660992 is about 47672.4342990790. The cubic root of 2272660992 is about 1314.7551659533.

The spelling of 2272660992 in words is "two billion, two hundred seventy-two million, six hundred sixty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1792 2016 2304 2688 3584 4032 4608 5376 8064 10752 16128 32256 70457 140914 211371 281828 422742 493199 563656 634113 845484 986398 1127312 1268226 1479597 1690968 1972796 2254624 2536452 2959194 3381936 3945592 4438791 4509248 5072904 5918388 6763872 7891184 8877582 9018496 10145808 11836776 13527744 15782368 17755164 18036992 20291616 23673552 27055488 31564736 35510328 36073984 40583232 47347104 54110976 63129472 71020656 81166464 94694208 108221952 126258944 142041312 162332928 189388416 252517888 284082624 324665856 378776832 568165248 757553664 1136330496 2272660992