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2268532332 = 223511331641
BaseRepresentation
bin1000011100110111…
…0000111001101100
312212002122101100000
42013031300321230
514121221013312
61013034304300
7110134130613
oct20715607154
95762571300
102268532332
11a64588a10
12533888090
132a1ca8131
141773da87a
15d4257adc
hex87370e6c

2268532332 has 144 divisors (see below), whose sum is σ = 6517090944. Its totient is φ = 684288000.

The previous prime is 2268532327. The next prime is 2268532349. The reversal of 2268532332 is 2332358622.

2268532332 is a `hidden beast` number, since 226 + 85 + 323 + 32 = 666.

2268532332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3538732 + ... + 3539372.

It is an arithmetic number, because the mean of its divisors is an integer number (45257576).

Almost surely, 22268532332 is an apocalyptic number.

2268532332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2268532332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3258545472).

2268532332 is an abundant number, since it is smaller than the sum of its proper divisors (4248558612).

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

2268532332 is a wasteful number, since it uses less digits than its factorization.

2268532332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 988 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 2268532332 is about 47629.1122319113. The cubic root of 2268532332 is about 1313.9585274957.

The spelling of 2268532332 in words is "two billion, two hundred sixty-eight million, five hundred thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 331 396 486 594 641 662 891 972 993 1188 1282 1324 1782 1923 1986 2564 2673 2979 3564 3641 3846 3972 5346 5769 5958 7051 7282 7692 8937 10692 10923 11538 11916 14102 14564 17307 17874 21153 21846 23076 26811 28204 32769 34614 35748 42306 43692 51921 53622 63459 65538 69228 80433 84612 98307 103842 107244 126918 131076 155763 160866 190377 196614 207684 212171 253836 294921 311526 321732 380754 393228 424342 571131 589842 623052 636513 761508 848684 884763 1142262 1179684 1273026 1713393 1769526 1909539 2284524 2333881 2546052 3426786 3539052 3819078 4667762 5728617 6853572 7001643 7638156 9335524 11457234 14003286 17185851 21004929 22914468 28006572 34371702 42009858 51557553 63014787 68743404 84019716 103115106 126029574 189044361 206230212 252059148 378088722 567133083 756177444 1134266166 2268532332