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223083396 = 22341494621
BaseRepresentation
bin11010100101111…
…11101110000100
3120112202210220000
431102333232010
5424102132041
634045241300
75346114624
oct1522775604
9515683800
10223083396
11104a19948
1262863230
13372aa013
14218b0884
15148b8bb6
hexd4bfb84

223083396 has 60 divisors (see below), whose sum is σ = 587225100. Its totient is φ = 73846080.

The previous prime is 223083383. The next prime is 223083403. The reversal of 223083396 is 693380322.

It can be written as a sum of positive squares in 2 ways, for example, as 51840000 + 171243396 = 7200^2 + 13086^2 .

It is a super-3 number, since 3×2230833963 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 223083396.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45966 + ... + 50586.

It is an arithmetic number, because the mean of its divisors is an integer number (9787085).

Almost surely, 2223083396 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 223083396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293612550).

223083396 is an abundant number, since it is smaller than the sum of its proper divisors (364141704).

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

223083396 is a wasteful number, since it uses less digits than its factorization.

223083396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4786 (or 4775 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 223083396 is about 14935.9765666661. The cubic root of 223083396 is about 606.4882840405.

The spelling of 223083396 in words is "two hundred twenty-three million, eighty-three thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 149 162 298 324 447 596 894 1341 1788 2682 4023 4621 5364 8046 9242 12069 13863 16092 18484 24138 27726 41589 48276 55452 83178 124767 166356 249534 374301 499068 688529 748602 1377058 1497204 2065587 2754116 4131174 6196761 8262348 12393522 18590283 24787044 37180566 55770849 74361132 111541698 223083396