Search a number
-
+
222009228 = 22337319473
BaseRepresentation
bin11010011101110…
…01011110001100
3120110202020102000
431032321132030
5423313243403
634010232300
75334022140
oct1516713614
9513666360
10222009228
11104355901
1262425690
1336cc210c
14216b1220
15147557a3
hexd3b978c

222009228 has 96 divisors (see below), whose sum is σ = 679096320. Its totient is φ = 61378560.

The previous prime is 222009223. The next prime is 222009241. The reversal of 222009228 is 822900222.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (222009223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18700 + ... + 28172.

It is an arithmetic number, because the mean of its divisors is an integer number (7073920).

Almost surely, 2222009228 is an apocalyptic number.

222009228 is a gapful number since it is divisible by the number (28) 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 222009228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339548160).

222009228 is an abundant number, since it is smaller than the sum of its proper divisors (457087092).

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

222009228 is a wasteful number, since it uses less digits than its factorization.

222009228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9524 (or 9516 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 222009228 is about 14899.9740939372. The cubic root of 222009228 is about 605.5132843234.

The spelling of 222009228 in words is "two hundred twenty-two million, nine thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 84 93 108 124 126 186 189 217 252 279 372 378 434 558 651 756 837 868 1116 1302 1674 1953 2604 3348 3906 5859 7812 9473 11718 18946 23436 28419 37892 56838 66311 85257 113676 132622 170514 198933 255771 265244 293663 341028 397866 511542 587326 596799 795732 880989 1023084 1174652 1193598 1761978 1790397 2055641 2387196 2642967 3523956 3580794 4111282 5285934 6166923 7161588 7928901 8222564 10571868 12333846 15857802 18500769 24667692 31715604 37001538 55502307 74003076 111004614 222009228