Search a number
-
+
3023022223232 = 27117149960601
BaseRepresentation
bin101011111111011010001…
…010100110111110000000
3101200222221121122101120122
4223333122022212332000
5344012122142120412
610232431321355412
7431256210632324
oct53773212467600
911628847571518
103023022223232
11a66069264850
12409a70038b68
1318c0ba3a03bb
14a645a72b984
1553980993572
hex2bfda2a6f80

3023022223232 has 128 divisors (see below), whose sum is σ = 6675916320000. Its totient is φ = 1352010240000.

The previous prime is 3023022223229. The next prime is 3023022223307. The reversal of 3023022223232 is 2323222203203.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49853732 + ... + 49914332.

It is an arithmetic number, because the mean of its divisors is an integer number (52155596250).

Almost surely, 23023022223232 is an apocalyptic number.

3023022223232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3023022223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3337958160000).

3023022223232 is an abundant number, since it is smaller than the sum of its proper divisors (3652894096768).

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

3023022223232 is a wasteful number, since it uses less digits than its factorization.

3023022223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61196 (or 61184 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 26.

Adding to 3023022223232 its reverse (2323222203203), we get a palindrome (5346244426435).

The spelling of 3023022223232 in words is "three trillion, twenty-three billion, twenty-two million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 71 88 128 142 176 284 352 499 568 704 781 998 1136 1408 1562 1996 2272 3124 3992 4544 5489 6248 7984 9088 10978 12496 15968 21956 24992 31936 35429 43912 49984 60601 63872 70858 87824 99968 121202 141716 175648 242404 283432 351296 389719 484808 566864 666611 702592 779438 969616 1133728 1333222 1558876 1939232 2267456 2666444 3117752 3878464 4302671 4534912 5332888 6235504 7756928 8605342 10665776 12471008 17210684 21331552 24942016 30239899 34421368 42663104 47329381 49884032 60479798 68842736 85326208 94658762 120959596 137685472 189317524 241919192 275370944 332638889 378635048 483838384 550741888 665277778 757270096 967676768 1330555556 1514540192 1935353536 2147032829 2661111112 3029080384 3870707072 4294065658 5322222224 6058160768 8588131316 10644444448 17176262632 21288888896 23617361119 34352525264 42577777792 47234722238 68705050528 94469444476 137410101056 188938888952 274820202112 377877777904 755755555808 1511511111616 3023022223232