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223006104 = 23323797863
BaseRepresentation
bin11010100101011…
…00110110011000
3120112121212212100
431102230312120
5424042143404
634043443400
75345343366
oct1522546630
9515555770
10223006104
11104976872
1262826560
1337280a99
1421890636
15148a0d39
hexd4acd98

223006104 has 96 divisors (see below), whose sum is σ = 627419520. Its totient is φ = 71497728.

The previous prime is 223006103. The next prime is 223006123. The reversal of 223006104 is 401600322.

It is a happy number.

223006104 is a `hidden beast` number, since 22 + 30 + 0 + 610 + 4 = 666.

223006104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223006103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257977 + ... + 258839.

It is an arithmetic number, because the mean of its divisors is an integer number (6535620).

Almost surely, 2223006104 is an apocalyptic number.

223006104 is a gapful number since it is divisible by the number (24) 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 223006104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313709760).

223006104 is an abundant number, since it is smaller than the sum of its proper divisors (404413416).

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

223006104 is a wasteful number, since it uses less digits than its factorization.

223006104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 223006104 is about 14933.3888987061. The cubic root of 223006104 is about 606.4182323496.

Adding to 223006104 its reverse (401600322), we get a palindrome (624606426).

The spelling of 223006104 in words is "two hundred twenty-three million, six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 97 111 148 194 222 291 296 333 388 444 582 666 776 863 873 888 1164 1332 1726 1746 2328 2589 2664 3452 3492 3589 5178 6904 6984 7178 7767 10356 10767 14356 15534 20712 21534 28712 31068 31931 32301 43068 62136 63862 64602 83711 86136 95793 127724 129204 167422 191586 251133 255448 258408 287379 334844 383172 502266 574758 669688 753399 766344 1004532 1149516 1506798 2009064 2299032 3013596 3097307 6027192 6194614 9291921 12389228 18583842 24778456 27875763 37167684 55751526 74335368 111503052 223006104