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223085070 = 23351324889
BaseRepresentation
bin11010100110000…
…00001000001110
3120112202220012000
431103000020032
5424102210240
634045253130
75346122535
oct1523001016
9515686160
10223085070
11104a2012a
12628641a6
13372aaa00
14218b131c
15148b9430
hexd4c020e

223085070 has 96 divisors (see below), whose sum is σ = 644306400. Its totient is φ = 54902016.

The previous prime is 223085047. The next prime is 223085087. The reversal of 223085070 is 70580322.

It is a super-3 number, since 3×2230850703 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43186 + ... + 48074.

It is an arithmetic number, because the mean of its divisors is an integer number (6711525).

Almost surely, 2223085070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223085070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322153200).

223085070 is an abundant number, since it is smaller than the sum of its proper divisors (421221330).

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

223085070 is a wasteful number, since it uses less digits than its factorization.

223085070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4931 (or 4912 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 223085070 is about 14936.0326057491. The cubic root of 223085070 is about 606.4898010499.

The spelling of 223085070 in words is "two hundred twenty-three million, eighty-five thousand, seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 169 195 234 270 338 351 390 507 585 702 845 1014 1170 1521 1690 1755 2535 3042 3510 4563 4889 5070 7605 9126 9778 14667 15210 22815 24445 29334 44001 45630 48890 63557 73335 88002 127114 132003 146670 190671 220005 264006 317785 381342 440010 572013 635570 660015 826241 953355 1144026 1320030 1652482 1716039 1906710 2478723 2860065 3432078 4131205 4957446 5720130 7436169 8262410 8580195 12393615 14872338 17160390 22308507 24787230 37180845 44617014 74361690 111542535 223085070