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18223968 = 253747577
BaseRepresentation
bin100010110000…
…1001101100000
31021021212120210
41011201031200
514131131333
61450334120
7310621050
oct105411540
937255523
1018223968
11a317a34
12612a340
133a10c19
1425c5560
1518eea63
hex1161360

18223968 has 96 divisors (see below), whose sum is σ = 55931904. Its totient is φ = 5087232.

The previous prime is 18223951. The next prime is 18223969. The reversal of 18223968 is 86932281.

It is a happy number.

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

It is a super-2 number, since 2×182239682 = 664226019330048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18223969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31296 + ... + 31872.

It is an arithmetic number, because the mean of its divisors is an integer number (582624).

Almost surely, 218223968 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 18223968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27965952).

18223968 is an abundant number, since it is smaller than the sum of its proper divisors (37707936).

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

18223968 is a wasteful number, since it uses less digits than its factorization.

18223968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 636 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 18223968 is about 4268.9539702367. The cubic root of 18223968 is about 263.1566291251.

It can be divided in two parts, 18223 and 968, that added together give a palindrome (19191).

The spelling of 18223968 in words is "eighteen million, two hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 84 94 96 112 141 168 188 224 282 329 336 376 564 577 658 672 752 987 1128 1154 1316 1504 1731 1974 2256 2308 2632 3462 3948 4039 4512 4616 5264 6924 7896 8078 9232 10528 12117 13848 15792 16156 18464 24234 27119 27696 31584 32312 48468 54238 55392 64624 81357 96936 108476 129248 162714 189833 193872 216952 325428 379666 387744 433904 569499 650856 759332 867808 1138998 1301712 1518664 2277996 2603424 3037328 4555992 6074656 9111984 18223968