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223324112032 = 25713911296353
BaseRepresentation
bin1100111111111100100…
…1111000010010100000
3210100102211201100012121
43033333021320102200
512124331433041112
6250332122434024
722064115426430
oct3177711702240
9710384640177
10223324112032
118679070384a
1237346962914
13180a059c0b8
14ab47a5c2c0
155c20e57407
hex33ff2784a0

223324112032 has 96 divisors (see below), whose sum is σ = 506622211200. Its totient is φ = 94922661888.

The previous prime is 223324111909. The next prime is 223324112057. The reversal of 223324112032 is 230211423322.

It is a junction number, because it is equal to n+sod(n) for n = 223324111988 and 223324112006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35149368 + ... + 35155720.

It is an arithmetic number, because the mean of its divisors is an integer number (5277314700).

Almost surely, 2223324112032 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 223324112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253311105600).

223324112032 is an abundant number, since it is smaller than the sum of its proper divisors (283298099168).

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

223324112032 is a wasteful number, since it uses less digits than its factorization.

223324112032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7638 (or 7630 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 223324112032 its reverse (230211423322), we get a palindrome (453535535354).

The spelling of 223324112032 in words is "two hundred twenty-three billion, three hundred twenty-four million, one hundred twelve thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 139 224 278 556 973 1112 1129 1946 2224 2258 3892 4448 4516 6353 7784 7903 9032 12706 15568 15806 18064 25412 31136 31612 36128 44471 50824 63224 88942 101648 126448 156931 177884 203296 252896 313862 355768 627724 711536 883067 1098517 1255448 1423072 1766134 2197034 2510896 3532268 4394068 5021792 6181469 7064536 7172537 8788136 12362938 14129072 14345074 17576272 24725876 28258144 28690148 35152544 49451752 50207759 57380296 98903504 100415518 114760592 197807008 200831036 229521184 401662072 803324144 996982643 1606648288 1993965286 3987930572 6978878501 7975861144 13957757002 15951722288 27915514004 31903444576 55831028008 111662056016 223324112032