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9960228192 = 2531739715373
BaseRepresentation
bin10010100011010110…
…10000010101100000
3221201010221000110110
421101223100111200
5130344304300232
64324202131320
7501552354105
oct112153202540
927633830413
109960228192
11425131a952
121b1b7b0b40
13c296a3765
146a6b6caac
153d4653acc
hex251ad0560

9960228192 has 96 divisors (see below), whose sum is σ = 27755112672. Its totient is φ = 3116703744.

The previous prime is 9960228191. The next prime is 9960228197. The reversal of 9960228192 is 2918220699.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×99602281922 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9960228191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 640218 + ... + 655590.

It is an arithmetic number, because the mean of its divisors is an integer number (289115757).

Almost surely, 29960228192 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 9960228192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13877556336).

9960228192 is an abundant number, since it is smaller than the sum of its proper divisors (17794884480).

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

9960228192 is a wasteful number, since it uses less digits than its factorization.

9960228192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15800 (or 15792 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The square root of 9960228192 is about 99800.9428412377. The cubic root of 9960228192 is about 2151.5747030177.

The spelling of 9960228192 in words is "nine billion, nine hundred sixty million, two hundred twenty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 397 408 544 794 816 1191 1588 1632 2382 3176 4764 6352 6749 9528 12704 13498 15373 19056 20247 26996 30746 38112 40494 46119 53992 61492 80988 92238 107984 122984 161976 184476 215968 245968 261341 323952 368952 491936 522682 647904 737904 784023 1045364 1475808 1568046 2090728 3136092 4181456 6103081 6272184 8362912 12206162 12544368 18309243 24412324 25088736 36618486 48824648 73236972 97649296 103752377 146473944 195298592 207504754 292947888 311257131 415009508 585895776 622514262 830019016 1245028524 1660038032 2490057048 3320076064 4980114096 9960228192