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2093343192 = 2332292181191
BaseRepresentation
bin111110011000101…
…1110000111011000
312101212222212000100
41330301132013120
513241343440232
6543415335400
7102606060243
oct17461360730
95355885010
102093343192
119847017a6
124a5081560
132748c9c15
1415c03625a
15c3b9ec7c
hex7cc5e1d8

2093343192 has 144 divisors (see below), whose sum is σ = 5935063680. Its totient is φ = 666489600.

The previous prime is 2093343179. The next prime is 2093343209. The reversal of 2093343192 is 2913433902.

2093343192 is a `hidden beast` number, since 2 + 0 + 9 + 334 + 319 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10959817 + ... + 10960007.

It is an arithmetic number, because the mean of its divisors is an integer number (41215720).

Almost surely, 22093343192 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 2093343192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2967531840).

2093343192 is an abundant number, since it is smaller than the sum of its proper divisors (3841720488).

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

2093343192 is a wasteful number, since it uses less digits than its factorization.

2093343192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 2093343192 is about 45753.0675692898. The cubic root of 2093343192 is about 1279.2246264327.

The spelling of 2093343192 in words is "two billion, ninety-three million, three hundred forty-three thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 181 191 232 261 348 362 382 522 543 573 696 724 764 841 1044 1086 1146 1448 1528 1629 1682 1719 2088 2172 2292 2523 3258 3364 3438 4344 4584 5046 5249 5539 6516 6728 6876 7569 10092 10498 11078 13032 13752 15138 15747 16617 20184 20996 22156 30276 31494 33234 34571 41992 44312 47241 49851 60552 62988 66468 69142 94482 99702 103713 125976 132936 138284 152221 160631 188964 199404 207426 276568 304442 311139 321262 377928 398808 414852 456663 481893 608884 622278 642524 829704 913326 963786 1002559 1217768 1244556 1285048 1369989 1445679 1826652 1927572 2005118 2489112 2739978 2891358 3007677 3653304 3855144 4010236 5479956 5782716 6015354 8020472 9023031 10959912 11565432 12030708 18046062 24061416 29074211 36092124 58148422 72184248 87222633 116296844 174445266 232593688 261667899 348890532 523335798 697781064 1046671596 2093343192