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2280863232 = 29331391187
BaseRepresentation
bin1000011111110011…
…0011011000000000
312212221211212011000
42013330303120000
514132400110412
61014154452000
7110344006014
oct20774633000
95787755130
102280863232
11a7054033a
12537a34000
132a470491b
14178cca544
15d53914dc
hex87f33600

2280863232 has 160 divisors (see below), whose sum is σ = 6805814400. Its totient is φ = 754182144.

The previous prime is 2280863219. The next prime is 2280863237. The reversal of 2280863232 is 2323680822.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2280863237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1920943 + ... + 1922129.

It is an arithmetic number, because the mean of its divisors is an integer number (42536340).

Almost surely, 22280863232 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 2280863232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402907200).

2280863232 is an abundant number, since it is smaller than the sum of its proper divisors (4524951168).

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

2280863232 is a wasteful number, since it uses less digits than its factorization.

2280863232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2280863232 is about 47758.3838922550. The cubic root of 2280863232 is about 1316.3349572196.

The spelling of 2280863232 in words is "two billion, two hundred eighty million, eight hundred sixty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 139 144 192 216 256 278 288 384 417 432 512 556 576 768 834 864 1112 1152 1187 1251 1536 1668 1728 2224 2304 2374 2502 3336 3456 3561 3753 4448 4608 4748 5004 6672 6912 7122 7506 8896 9496 10008 10683 13344 13824 14244 15012 17792 18992 20016 21366 26688 28488 30024 32049 35584 37984 40032 42732 53376 56976 60048 64098 71168 75968 80064 85464 106752 113952 120096 128196 151936 160128 164993 170928 213504 227904 240192 256392 303872 320256 329986 341856 455808 480384 494979 512784 607744 640512 659972 683712 911616 960768 989958 1025568 1319944 1367424 1484937 1823232 1921536 1979916 2051136 2639888 2734848 2969874 3959832 4102272 4454811 5279776 5469696 5939748 7919664 8204544 8909622 10559552 11879496 15839328 16409088 17819244 21119104 23758992 31678656 35638488 42238208 47517984 63357312 71276976 84476416 95035968 126714624 142553952 190071936 253429248 285107904 380143872 570215808 760287744 1140431616 2280863232