Search a number
-
+
2283435030168 = 2337628720759
BaseRepresentation
bin100001001110100111010…
…101010111011010011000
322002021221111212020000000
4201032213111113122120
5244402433331431133
64504555013213000
7323654435336625
oct41164725273230
98067844766000
102283435030168
11800443600076
1230a665931160
13137433557886
147c7399d534c
153e5e6297413
hex213a7557698

2283435030168 has 128 divisors (see below), whose sum is σ = 6422512896000. Its totient is φ = 760987283616.

The previous prime is 2283435030157. The next prime is 2283435030187. The reversal of 2283435030168 is 8610305343822.

2283435030168 is a `hidden beast` number, since 2 + 2 + 83 + 4 + 3 + 503 + 0 + 1 + 68 = 666.

2283435030168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109986973 + ... + 110007731.

It is an arithmetic number, because the mean of its divisors is an integer number (50175882000).

Almost surely, 22283435030168 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 2283435030168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3211256448000).

2283435030168 is an abundant number, since it is smaller than the sum of its proper divisors (4139077865832).

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

2283435030168 is an equidigital number, since it uses as much as digits as its factorization.

2283435030168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27073 (or 27051 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 2283435030168 in words is "two trillion, two hundred eighty-three billion, four hundred thirty-five million, thirty thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 6287 8748 12574 17496 18861 20759 25148 37722 41518 50296 56583 62277 75444 83036 113166 124554 150888 166072 169749 186831 226332 249108 339498 373662 452664 498216 509247 560493 678996 747324 1018494 1120986 1357992 1494648 1527741 1681479 2036988 2241972 3055482 3362958 4073976 4483944 4583223 5044437 6110964 6725916 9166446 10088874 12221928 13451832 13749669 15133311 18332892 20177748 27499338 30266622 36665784 40355496 45399933 54998676 60533244 90799866 109997352 121066488 130511833 181599732 261023666 363199464 391535499 522047332 783070998 1044094664 1174606497 1566141996 2349212994 3132283992 3523819491 4698425988 7047638982 9396851976 10571458473 14095277964 21142916946 28190555928 31714375419 42285833892 63428750838 84571667784 95143126257 126857501676 190286252514 253715003352 285429378771 380572505028 570858757542 761145010056 1141717515084 2283435030168