Search a number
-
+
223320322112 = 26176719715551
BaseRepresentation
bin1100111111111011101…
…1011011000001000000
3210100102120120210102012
43033332323123001000
512124330000301422
6250331505312052
722064041263206
oct3177673330100
9710376523365
10223320322112
1186789555388
1237345635628
131809c873044
14ab47353076
155c209594e2
hex33feedb040

223320322112 has 112 divisors (see below), whose sum is σ = 478670404608. Its totient is φ = 102991257600.

The previous prime is 223320322081. The next prime is 223320322117. The reversal of 223320322112 is 211223023322.

It is a super-2 number, since 2×2233203221122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (223320322117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14352737 + ... + 14368287.

Almost surely, 2223320322112 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 223320322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239335202304).

223320322112 is an abundant number, since it is smaller than the sum of its proper divisors (255350082496).

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

223320322112 is a wasteful number, since it uses less digits than its factorization.

223320322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15844 (or 15834 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 223320322112 its reverse (211223023322), we get a palindrome (434543345434).

The spelling of 223320322112 in words is "two hundred twenty-three billion, three hundred twenty million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 67 68 134 136 197 268 272 394 536 544 788 1072 1088 1139 1576 2144 2278 3152 3349 4288 4556 6304 6698 9112 12608 13199 13396 15551 18224 26398 26792 31102 36448 52796 53584 62204 72896 105592 107168 124408 211184 214336 224383 248816 264367 422368 448766 497632 528734 844736 897532 995264 1041917 1057468 1795064 2083834 2114936 3063547 3590128 4167668 4229872 6127094 7180256 8335336 8459744 12254188 14360512 16670672 16919488 17712589 24508376 33341344 35425178 49016752 52080299 66682688 70850356 98033504 104160598 141700712 196067008 205257649 208321196 283401424 410515298 416642392 566802848 821030596 833284784 1133605696 1642061192 1666569568 3284122384 3333139136 3489380033 6568244768 6978760066 13136489536 13957520132 27915040264 55830080528 111660161056 223320322112