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2368922112 = 29342392
BaseRepresentation
bin1000110100110010…
…1110001000000000
320010002112201020000
42031030232020000
514322421001422
61031022120000
7112463335314
oct21514561000
96102481200
102368922112
111006216277
12561420000
132b9a2717b
1418688db44
15dce87cac
hex8d32e200

2368922112 has 150 divisors (see below), whose sum is σ = 7100316663. Its totient is φ = 786336768.

The previous prime is 2368922057. The next prime is 2368922119. The reversal of 2368922112 is 2112298632.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1184461056 + 1184461056 = 34416^2 + 34416^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=34416.

It is a super-2 number, since 2×23689221122 = 11223583945445081088, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (2368922119) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 9911689 + ... + 9911927.

Almost surely, 22368922112 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 2368922112

2368922112 is an abundant number, since it is smaller than the sum of its proper divisors (4731394551).

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

2368922112 is an frugal number, since it uses more digits than its factorization.

2368922112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 244 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 2368922112 is about 48671.5739626324. The cubic root of 2368922112 is about 1333.0617295662.

The spelling of 2368922112 in words is "two billion, three hundred sixty-eight million, nine hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 239 256 288 324 384 432 478 512 576 648 717 768 864 956 1152 1296 1434 1536 1728 1912 2151 2304 2592 2868 3456 3824 4302 4608 5184 5736 6453 6912 7648 8604 10368 11472 12906 13824 15296 17208 19359 20736 22944 25812 30592 34416 38718 41472 45888 51624 57121 61184 68832 77436 91776 103248 114242 122368 137664 154872 171363 183552 206496 228484 275328 309744 342726 367104 412992 456968 514089 550656 619488 685452 825984 913936 1028178 1101312 1238976 1370904 1542267 1651968 1827872 2056356 2477952 2741808 3084534 3303936 3655744 4112712 4626801 4955904 5483616 6169068 7311488 8225424 9253602 9911808 10967232 12338136 14622976 16450848 18507204 21934464 24676272 29245952 32901696 37014408 43868928 49352544 65803392 74028816 87737856 98705088 131606784 148057632 197410176 263213568 296115264 394820352 592230528 789640704 1184461056 2368922112