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223251540 = 22353720859
BaseRepresentation
bin11010100111010…
…00110001010100
3120120002100112120
431103220301110
5424123022130
634053015540
75350415061
oct1523506124
9516070476
10223251540
11105024206
12629245b0
1337338705
1421915c68
15148ed910
hexd4e8c54

223251540 has 24 divisors (see below), whose sum is σ = 625104480. Its totient is φ = 59533728.

The previous prime is 223251517. The next prime is 223251557. The reversal of 223251540 is 45152322.

It is a super-3 number, since 3×2232515403 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 223251540.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1860370 + ... + 1860489.

It is an arithmetic number, because the mean of its divisors is an integer number (26046020).

Almost surely, 2223251540 is an apocalyptic number.

223251540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223251540 is an abundant number, since it is smaller than the sum of its proper divisors (401852940).

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

223251540 is a wasteful number, since it uses less digits than its factorization.

223251540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3720871 (or 3720869 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 223251540 is about 14941.6043315301. The cubic root of 223251540 is about 606.6406213241.

The spelling of 223251540 in words is "two hundred twenty-three million, two hundred fifty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3720859 7441718 11162577 14883436 18604295 22325154 37208590 44650308 55812885 74417180 111625770 223251540