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224233540 = 22531397911
BaseRepresentation
bin11010101110110…
…00100001000100
3120121221020120221
431113120201010
5424400433130
634130034124
75361645046
oct1527304104
9517836527
10224233540
11105634a83
1263118944
13375c068b
1421acda96
1514a4487a
hexd5d8844

224233540 has 48 divisors (see below), whose sum is σ = 487839744. Its totient is φ = 86486400.

The previous prime is 224233531. The next prime is 224233567. The reversal of 224233540 is 45332422.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245685 + ... + 246595.

It is an arithmetic number, because the mean of its divisors is an integer number (10163328).

Almost surely, 2224233540 is an apocalyptic number.

224233540 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 224233540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243919872).

224233540 is an abundant number, since it is smaller than the sum of its proper divisors (263606204).

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

224233540 is a wasteful number, since it uses less digits than its factorization.

224233540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 224233540 is about 14974.4295383831. The cubic root of 224233540 is about 607.5287820761.

Adding to 224233540 its reverse (45332422), we get a palindrome (269565962).

The spelling of 224233540 in words is "two hundred twenty-four million, two hundred thirty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 397 620 794 911 1588 1822 1985 3644 3970 4555 7940 9110 12307 18220 24614 28241 49228 56482 61535 112964 123070 141205 246140 282410 361667 564820 723334 1446668 1808335 3616670 7233340 11211677 22423354 44846708 56058385 112116770 224233540