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223623072 = 2533614243
BaseRepresentation
bin11010101010000…
…11011110100000
3120120210020012000
431111003132200
5424221414242
634105004000
75353523211
oct1525033640
9516706160
10223623072
11105258362
1262a83600
133743885a
14219b1408
1514973a4c
hexd5437a0

223623072 has 96 divisors (see below), whose sum is σ = 663082560. Its totient is φ = 73301760.

The previous prime is 223623067. The next prime is 223623073. The reversal of 223623072 is 270326322.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (223623073) by changing a digit.

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, 50583 + ... + 54825.

It is an arithmetic number, because the mean of its divisors is an integer number (6907110).

Almost surely, 2223623072 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 223623072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331541280).

223623072 is an abundant number, since it is smaller than the sum of its proper divisors (439459488).

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

223623072 is a wasteful number, since it uses less digits than its factorization.

223623072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4323 (or 4309 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 223623072 is about 14954.0319646576. The cubic root of 223623072 is about 606.9769556827.

Adding to 223623072 its reverse (270326322), we get a palindrome (493949394).

The spelling of 223623072 in words is "two hundred twenty-three million, six hundred twenty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 72 96 108 122 144 183 216 244 288 366 432 488 549 732 864 976 1098 1464 1647 1952 2196 2928 3294 4243 4392 5856 6588 8486 8784 12729 13176 16972 17568 25458 26352 33944 38187 50916 52704 67888 76374 101832 114561 135776 152748 203664 229122 258823 305496 407328 458244 517646 610992 776469 916488 1035292 1221984 1552938 1832976 2070584 2329407 3105876 3665952 4141168 4658814 6211752 6988221 8282336 9317628 12423504 13976442 18635256 24847008 27952884 37270512 55905768 74541024 111811536 223623072