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2283804023076 = 223459214232
BaseRepresentation
bin100001001110111101010…
…100111101100100100100
322002022220020012000010000
4201032331110331210210
5244404212312214301
64505055354101300
7323666535616662
oct41167524754444
98068806160100
102283804023076
11800612917994
1230a74941a830
13137491b30984
147c772a07c32
153e618883786
hex213bd53d924

2283804023076 has 135 divisors (see below), whose sum is σ = 6077492629131. Its totient is φ = 747839253456.

The previous prime is 2283804023069. The next prime is 2283804023077. The reversal of 2283804023076 is 6703204083822.

The square root of 2283804023076 is 1511226.

It is a perfect power (a square), and thus also a powerful number.

2283804023076 is a `hidden beast` number, since 22 + 83 + 80 + 402 + 3 + 0 + 76 = 666.

2283804023076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2283804023077) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1604921301 + ... + 1604922723.

Almost surely, 22283804023076 is an apocalyptic number.

2283804023076 is the 1511226-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2283804023076

2283804023076 is an abundant number, since it is smaller than the sum of its proper divisors (3793688606055).

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

2283804023076 is an frugal number, since it uses more digits than its factorization.

2283804023076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2980 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 2283804023076 in words is "two trillion, two hundred eighty-three billion, eight hundred four million, twenty-three thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 81 108 118 162 177 236 324 354 531 708 1062 1423 1593 2124 2846 3186 3481 4269 4779 5692 6372 6962 8538 9558 10443 12807 13924 17076 19116 20886 25614 31329 38421 41772 51228 62658 76842 83957 93987 115263 125316 153684 167914 187974 230526 251871 281961 335828 375948 461052 503742 563922 755613 1007484 1127844 1511226 2024929 2266839 3022452 4049858 4533678 4953463 6074787 6800517 8099716 9067356 9906926 12149574 13601034 14860389 18224361 19813852 24299148 27202068 29720778 36448722 44581167 54673083 59441556 72897444 89162334 109346166 119470811 133743501 164019249 178324668 218692332 238941622 267487002 328038498 358412433 401230503 477883244 534974004 656076996 716824866 802461006 1075237299 1433649732 1604922012 2150474598 3225711897 4300949196 6451423794 7048777849 9677135691 12902847588 14097555698 19354271382 21146333547 28195111396 38708542764 42292667094 63439000641 84585334188 126878001282 190317001923 253756002564 380634003846 570951005769 761268007692 1141902011538 2283804023076