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222261116 = 227111933739
BaseRepresentation
bin11010011111101…
…10111101111100
3120111020000221012
431033312331330
5423344323431
634015454352
75336121410
oct1517667574
9514200835
10222261116
11104508080
12625273b8
133707c96c
1421738d40
15147a522b
hexd3f6f7c

222261116 has 48 divisors (see below), whose sum is σ = 487576320. Its totient is φ = 86123520.

The previous prime is 222261101. The next prime is 222261173. The reversal of 222261116 is 611162222.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 222261091 and 222261100.

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, 57575 + ... + 61313.

It is an arithmetic number, because the mean of its divisors is an integer number (10157840).

Almost surely, 2222261116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222261116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243788160).

222261116 is an abundant number, since it is smaller than the sum of its proper divisors (265315204).

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

222261116 is a wasteful number, since it uses less digits than its factorization.

222261116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3954 (or 3952 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 222261116 is about 14908.4243298881. The cubic root of 222261116 is about 605.7421995582.

The spelling of 222261116 in words is "two hundred twenty-two million, two hundred sixty-one thousand, one hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 193 308 386 772 1351 2123 2702 3739 4246 5404 7478 8492 14861 14956 26173 29722 41129 52346 59444 82258 104692 164516 287903 575806 721627 1151612 1443254 2886508 5051389 7937897 10102778 15875794 20205556 31751588 55565279 111130558 222261116