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22023024 = 24317137197
BaseRepresentation
bin101010000000…
…0101101110000
31112102212220120
41110000231300
521114214044
62104010240
7355123032
oct124005560
945385816
1022023024
1111482251
127460980
13474119a
142cd3c52
151e00519
hex1500b70

22023024 has 80 divisors (see below), whose sum is σ = 60987168. Its totient is φ = 6823936.

The previous prime is 22023019. The next prime is 22023031. The reversal of 22023024 is 42032022.

It is a super-2 number, since 2×220230242 = 970027172209152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22022994 and 22023012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111694 + ... + 111890.

Almost surely, 222023024 is an apocalyptic number.

22023024 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 22023024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30493584).

22023024 is an abundant number, since it is smaller than the sum of its proper divisors (38964144).

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

22023024 is a wasteful number, since it uses less digits than its factorization.

22023024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 22023024 is about 4692.8694846544. The cubic root of 22023024 is about 280.3016477034.

Adding to 22023024 its reverse (42032022), we get a palindrome (64055046).

The spelling of 22023024 in words is "twenty-two million, twenty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 137 197 204 272 274 394 408 411 548 591 788 816 822 1096 1182 1576 1644 2192 2329 2364 3152 3288 3349 4658 4728 6576 6698 6987 9316 9456 10047 13396 13974 18632 20094 26792 26989 27948 37264 40188 53584 53978 55896 80376 80967 107956 111792 160752 161934 215912 323868 431824 458813 647736 917626 1295472 1376439 1835252 2752878 3670504 5505756 7341008 11011512 22023024