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224450340 = 223515723827
BaseRepresentation
bin11010110000011…
…01011100100100
3120122100020222120
431120031130210
5424424402330
634134425540
75363540112
oct1530153444
9518306876
10224450340
11105772954
12632022b0
133766826a
1421b48ab2
1514a88c10
hexd60d724

224450340 has 48 divisors (see below), whose sum is σ = 632490432. Its totient is φ = 59469696.

The previous prime is 224450327. The next prime is 224450351. The reversal of 224450340 is 43054422.

It is a super-2 number, since 2×2244503402 = 100755910252231200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 224450340.

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 15 ways as a sum of consecutive naturals, for example, 2494 + ... + 21333.

It is an arithmetic number, because the mean of its divisors is an integer number (13176884).

Almost surely, 2224450340 is an apocalyptic number.

224450340 is a gapful number since it is divisible by the number (20) 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 224450340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316245216).

224450340 is an abundant number, since it is smaller than the sum of its proper divisors (408040092).

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

224450340 is a wasteful number, since it uses less digits than its factorization.

224450340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23996 (or 23994 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 224450340 is about 14981.6667964549. Note that the first 3 decimals coincide. The cubic root of 224450340 is about 607.7245152302.

The spelling of 224450340 in words is "two hundred twenty-four million, four hundred fifty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 157 314 471 628 785 942 1570 1884 2355 3140 4710 9420 23827 47654 71481 95308 119135 142962 238270 285924 357405 476540 714810 1429620 3740839 7481678 11222517 14963356 18704195 22445034 37408390 44890068 56112585 74816780 112225170 224450340