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222286240 = 25511532383
BaseRepresentation
bin11010011111111…
…01000110100000
3120111021022101201
431033331012200
5423401124430
634020210544
75336254561
oct1517750640
9514238351
10222286240
11104524a40
1262539a54
133708b227
1421744168
15147ac8ca
hexd3fd1a0

222286240 has 96 divisors (see below), whose sum is σ = 583946496. Its totient is φ = 79272960.

The previous prime is 222286231. The next prime is 222286243. The reversal of 222286240 is 42682222.

It is a super-2 number, since 2×2222862402 = 98822344986675200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222286199 and 222286208.

It is not an unprimeable number, because it can be changed into a prime (222286243) 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, 92089 + ... + 94471.

It is an arithmetic number, because the mean of its divisors is an integer number (6082776).

Almost surely, 2222286240 is an apocalyptic number.

222286240 is a gapful number since it is divisible by the number (20) 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 222286240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291973248).

222286240 is an abundant number, since it is smaller than the sum of its proper divisors (361660256).

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

222286240 is a wasteful number, since it uses less digits than its factorization.

222286240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 222286240 is about 14909.2669169212. The cubic root of 222286240 is about 605.7650227041.

The spelling of 222286240 in words is "two hundred twenty-two million, two hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 53 55 80 88 106 110 160 176 212 220 265 352 424 440 530 583 848 880 1060 1166 1696 1760 2120 2332 2383 2915 4240 4664 4766 5830 8480 9328 9532 11660 11915 18656 19064 23320 23830 26213 38128 46640 47660 52426 76256 93280 95320 104852 126299 131065 190640 209704 252598 262130 381280 419408 505196 524260 631495 838816 1010392 1048520 1262990 1389289 2020784 2097040 2525980 2778578 4041568 4194080 5051960 5557156 6946445 10103920 11114312 13892890 20207840 22228624 27785780 44457248 55571560 111143120 222286240