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2275583232 = 28313317719
BaseRepresentation
bin1000011110100010…
…1010010100000000
312212120220121100110
42013220222110000
514130022130412
61013445351320
7110251065306
oct20750522400
95776817313
102275583232
11a685643aa
12536108540
132a35a6570
14178314276
15d4b9bd3c
hex87a2a500

2275583232 has 144 divisors (see below), whose sum is σ = 6551919360. Its totient is φ = 696999936.

The previous prime is 2275583221. The next prime is 2275583251. The reversal of 2275583232 is 2323855722.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3164569 + ... + 3165287.

It is an arithmetic number, because the mean of its divisors is an integer number (45499440).

Almost surely, 22275583232 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 2275583232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3275959680).

2275583232 is an abundant number, since it is smaller than the sum of its proper divisors (4276336128).

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

2275583232 is a wasteful number, since it uses less digits than its factorization.

2275583232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1054 counting only the distinct ones).

The product of its digits is 201600, while the sum is 39.

The square root of 2275583232 is about 47703.0736116657. The cubic root of 2275583232 is about 1315.3184387865.

The spelling of 2275583232 in words is "two billion, two hundred seventy-five million, five hundred eighty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 317 384 416 624 634 719 768 832 951 1248 1268 1438 1664 1902 2157 2496 2536 2876 3328 3804 4121 4314 4992 5072 5752 7608 8242 8628 9347 9984 10144 11504 12363 15216 16484 17256 18694 20288 23008 24726 28041 30432 32968 34512 37388 40576 46016 49452 56082 60864 65936 69024 74776 81152 92032 98904 112164 121728 131872 138048 149552 184064 197808 224328 227923 243456 263744 276096 299104 395616 448656 455846 527488 552192 598208 683769 791232 897312 911692 1054976 1196416 1367538 1582464 1794624 1823384 2392832 2735076 2962999 3164928 3589248 3646768 5470152 5925998 7178496 7293536 8888997 10940304 11851996 14587072 17777994 21880608 23703992 29174144 35555988 43761216 47407984 58348288 71111976 87522432 94815968 142223952 175044864 189631936 284447904 379263872 568895808 758527744 1137791616 2275583232