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22814064 = 24327131741
BaseRepresentation
bin101011100000…
…1110101110000
31120221002000100
41113001311300
521320022224
62132552400
7364626210
oct127016560
946832010
1022814064
11119725a9
127782700
13495a260
14305c240
152009ac9
hex15c1d70

22814064 has 120 divisors (see below), whose sum is σ = 78626912. Its totient is φ = 6013440.

The previous prime is 22814053. The next prime is 22814083. The reversal of 22814064 is 46041822.

It is a congruent number.

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, 12234 + ... + 13974.

Almost surely, 222814064 is an apocalyptic number.

22814064 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 22814064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39313456).

22814064 is an abundant number, since it is smaller than the sum of its proper divisors (55812848).

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

22814064 is a wasteful number, since it uses less digits than its factorization.

22814064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1775 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 22814064 is about 4776.4070178325. The cubic root of 22814064 is about 283.6182797328.

Adding to 22814064 its reverse (46041822), we get a palindrome (68855886).

The spelling of 22814064 in words is "twenty-two million, eight hundred fourteen thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1741 1872 2184 3276 3482 4368 5223 6552 6964 10446 12187 13104 13928 15669 20892 22633 24374 27856 31338 36561 41784 45266 48748 62676 67899 73122 83568 90532 97496 109683 125352 135798 146244 158431 181064 194992 203697 219366 250704 271596 292488 316862 362128 407394 438732 475293 543192 584976 633724 814788 877464 950586 1086384 1267448 1425879 1629576 1754928 1901172 2534896 2851758 3259152 3802344 5703516 7604688 11407032 22814064