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20233224 = 23321159433
BaseRepresentation
bin100110100101…
…1110000001000
31102001221202200
41031023300020
520134430344
62001400200
7333656664
oct115136010
942057680
1020233224
111046a580
126939060
13426562b
1429898a4
151b9a069
hex134bc08

20233224 has 96 divisors (see below), whose sum is σ = 60933600. Its totient is φ = 6013440.

The previous prime is 20233207. The next prime is 20233231. The reversal of 20233224 is 42233202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20233197 and 20233206.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46512 + ... + 46944.

It is an arithmetic number, because the mean of its divisors is an integer number (634725).

Almost surely, 220233224 is an apocalyptic number.

20233224 is a gapful number since it is divisible by the number (24) 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 20233224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30466800).

20233224 is an abundant number, since it is smaller than the sum of its proper divisors (40700376).

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

20233224 is a wasteful number, since it uses less digits than its factorization.

20233224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 20233224 is about 4498.1356137849. The cubic root of 20233224 is about 272.4927989568.

Adding to 20233224 its reverse (42233202), we get a palindrome (62466426).

The spelling of 20233224 in words is "twenty million, two hundred thirty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 59 66 72 88 99 118 132 177 198 236 264 354 396 433 472 531 649 708 792 866 1062 1298 1299 1416 1732 1947 2124 2596 2598 3464 3894 3897 4248 4763 5192 5196 5841 7788 7794 9526 10392 11682 14289 15576 15588 19052 23364 25547 28578 31176 38104 42867 46728 51094 57156 76641 85734 102188 114312 153282 171468 204376 229923 281017 306564 342936 459846 562034 613128 843051 919692 1124068 1686102 1839384 2248136 2529153 3372204 5058306 6744408 10116612 20233224