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224045568 = 293319853
BaseRepresentation
bin11010101101010…
…10101000000000
3120121120200202000
431112222220000
5424323424233
634122024000
75360233035
oct1526525000
9517520660
10224045568
1110551682a
1263048000
1337555c56
1421a8138c
1514a08d13
hexd5aaa00

224045568 has 160 divisors (see below), whose sum is σ = 698913600. Its totient is φ = 70668288.

The previous prime is 224045557. The next prime is 224045581. The reversal of 224045568 is 865540422.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262230 + ... + 263082.

It is an arithmetic number, because the mean of its divisors is an integer number (4368210).

Almost surely, 2224045568 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 224045568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349456800).

224045568 is an abundant number, since it is smaller than the sum of its proper divisors (474868032).

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

224045568 is an equidigital number, since it uses as much as digits as its factorization.

224045568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 224045568 is about 14968.1517897167. The cubic root of 224045568 is about 607.3589735134.

It can be divided in two parts, 22404 and 5568, that added together give a palindrome (27972).

The spelling of 224045568 in words is "two hundred twenty-four million, forty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 432 456 512 513 576 608 684 768 853 864 912 1026 1152 1216 1368 1536 1706 1728 1824 2052 2304 2432 2559 2736 3412 3456 3648 4104 4608 4864 5118 5472 6824 6912 7296 7677 8208 9728 10236 10944 13648 13824 14592 15354 16207 16416 20472 21888 23031 27296 29184 30708 32414 32832 40944 43776 46062 48621 54592 61416 64828 65664 81888 87552 92124 97242 109184 122832 129656 131328 145863 163776 184248 194484 218368 245664 259312 262656 291726 327552 368496 388968 436736 437589 491328 518624 583452 655104 736992 777936 875178 982656 1037248 1166904 1310208 1473984 1555872 1750356 1965312 2074496 2333808 2947968 3111744 3500712 3930624 4148992 4667616 5895936 6223488 7001424 8297984 9335232 11791872 12446976 14002848 18670464 24893952 28005696 37340928 56011392 74681856 112022784 224045568