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2193870022134 = 2373137118138561
BaseRepresentation
bin11111111011001100110…
…101111110010111110110
321202201202120111101200020
4133323030311332113312
5241421021211202014
64355503332230010
7314334100334340
oct37731465762766
97681676441606
102193870022134
1177646248497a
122b522a76b306
1312bb5b8a90bb
14782807aa290
153c1031e21a9
hex1feccd7e5f6

2193870022134 has 128 divisors (see below), whose sum is σ = 5320860033024. Its totient is φ = 589690368000.

The previous prime is 2193870022133. The next prime is 2193870022181. The reversal of 2193870022134 is 4312200783912.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2193870022133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56874214 + ... + 56912774.

It is an arithmetic number, because the mean of its divisors is an integer number (41569219008).

Almost surely, 22193870022134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2193870022134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660430016512).

2193870022134 is an abundant number, since it is smaller than the sum of its proper divisors (3126990010890).

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

2193870022134 is a wasteful number, since it uses less digits than its factorization.

2193870022134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39822.

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 2193870022134 in words is "two trillion, one hundred ninety-three billion, eight hundred seventy million, twenty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 31 37 42 62 74 93 111 186 217 222 259 434 518 651 777 1147 1181 1302 1554 2294 2362 3441 3543 6882 7086 8029 8267 16058 16534 24087 24801 36611 38561 43697 48174 49602 73222 77122 87394 109833 115683 131091 219666 231366 256277 262182 269927 305879 512554 539854 611758 768831 809781 917637 1195391 1354607 1426757 1537662 1619562 1835274 2390782 2709214 2853514 3586173 4063821 4280271 7172346 8127642 8367737 8560542 9482249 9987299 16735474 18964498 19974598 25103211 28446747 29961897 44229467 45540541 50206422 56893494 59923794 88458934 91081082 132688401 136621623 265376802 273243246 309606269 318783787 619212538 637567574 928818807 956351361 1411756771 1685000017 1857637614 1912702722 2823513542 3370000034 4235270313 5055000051 8470540626 9882297397 10110000102 11795000119 19764594794 23590000238 29646892191 35385000357 52235000527 59293784382 70770000714 104470001054 156705001581 313410003162 365645003689 731290007378 1096935011067 2193870022134