Search a number
-
+
223746198 = 23132263839
BaseRepresentation
bin11010101011000…
…01100010010110
3120121000111002020
431111201202112
5424234334243
634111354010
75354545164
oct1525414226
9517014066
10223746198
11105331915
1262b22906
133747c900
1421a04234
151499a283
hexd561896

223746198 has 48 divisors (see below), whose sum is σ = 486984960. Its totient is φ = 68501472.

The previous prime is 223746191. The next prime is 223746217. The reversal of 223746198 is 891647322.

It is a super-2 number, since 2×2237461982 = 100124722238910408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223746191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266263 + ... + 267101.

It is an arithmetic number, because the mean of its divisors is an integer number (10145520).

Almost surely, 2223746198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223746198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243492480).

223746198 is an abundant number, since it is smaller than the sum of its proper divisors (263238762).

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

223746198 is a wasteful number, since it uses less digits than its factorization.

223746198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1120 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 223746198 is about 14958.1482142677. The cubic root of 223746198 is about 607.0883349662.

The spelling of 223746198 in words is "two hundred twenty-three million, seven hundred forty-six thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 13 26 39 78 169 263 338 507 526 789 839 1014 1578 1678 2517 3419 5034 6838 10257 10907 20514 21814 32721 44447 65442 88894 133341 141791 220657 266682 283582 425373 441314 661971 850746 1323942 2868541 5737082 8605623 17211246 37291033 74582066 111873099 223746198