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223134464 = 287413037
BaseRepresentation
bin11010100110011…
…00001100000000
3120112212101221102
431103030030000
5424110300324
634050313532
75346416540
oct1523141400
9515771842
10223134464
11104a54253
12628888a8
13372c7337
14218c5320
15148c8dae
hexd4cc300

223134464 has 72 divisors (see below), whose sum is σ = 521612448. Its totient is φ = 93265920.

The previous prime is 223134451. The next prime is 223134479. The reversal of 223134464 is 464431322.

It is a super-3 number, since 3×2231344643 (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71954 + ... + 74990.

Almost surely, 2223134464 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 223134464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260806224).

223134464 is an abundant number, since it is smaller than the sum of its proper divisors (298477984).

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

223134464 is an equidigital number, since it uses as much as digits as its factorization.

223134464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3101 (or 3087 counting only the distinct ones).

The product of its digits is 13824, while the sum is 29.

The square root of 223134464 is about 14937.6860323144. The cubic root of 223134464 is about 606.5345593814.

Adding to 223134464 its reverse (464431322), we get a palindrome (687565786).

The spelling of 223134464 in words is "two hundred twenty-three million, one hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 128 164 224 256 287 328 448 574 656 896 1148 1312 1792 2296 2624 3037 4592 5248 6074 9184 10496 12148 18368 21259 24296 36736 42518 48592 73472 85036 97184 124517 170072 194368 249034 340144 388736 498068 680288 777472 871619 996136 1360576 1743238 1992272 2721152 3486476 3984544 5442304 6972952 7969088 13945904 15938176 27891808 31876352 55783616 111567232 223134464