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222226056 = 2332131371733
BaseRepresentation
bin11010011111011…
…10011010001000
3120111011020211200
431033232122020
5423342213211
634015024200
75335614243
oct1517563210
9514136750
10222226056
111044937a8
126250b060
1337069a10
142172a25a
1514799b56
hexd3ee688

222226056 has 96 divisors (see below), whose sum is σ = 653267160. Its totient is φ = 67838976.

The previous prime is 222226019. The next prime is 222226061. The reversal of 222226056 is 650622222.

It can be written as a sum of positive squares in 4 ways, for example, as 157101156 + 65124900 = 12534^2 + 8070^2 .

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, 127366 + ... + 129098.

Almost surely, 2222226056 is an apocalyptic number.

222226056 is a gapful number since it is divisible by the number (26) 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 222226056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326633580).

222226056 is an abundant number, since it is smaller than the sum of its proper divisors (431041104).

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

222226056 is a wasteful number, since it uses less digits than its factorization.

222226056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 222226056 is about 14907.2484382598. The cubic root of 222226056 is about 605.7103474756.

Adding to 222226056 its reverse (650622222), we get a palindrome (872848278).

The spelling of 222226056 in words is "two hundred twenty-two million, two hundred twenty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 137 156 234 274 312 411 468 548 822 936 1096 1233 1644 1733 1781 2466 3288 3466 3562 4932 5199 5343 6932 7124 9864 10398 10686 13864 14248 15597 16029 20796 21372 22529 31194 32058 41592 42744 45058 62388 64116 67587 90116 124776 128232 135174 180232 202761 237421 270348 405522 474842 540696 712263 811044 949684 1424526 1622088 1899368 2136789 2849052 3086473 4273578 5698104 6172946 8547156 9259419 12345892 17094312 18518838 24691784 27778257 37037676 55556514 74075352 111113028 222226056