Search a number
-
+
222395220 = 223451071283
BaseRepresentation
bin11010100000101…
…11101101010100
3120111110211220000
431100113231110
5423413121340
634022411300
75340220365
oct1520275524
9514424800
10222395220
11104599903
1262590b30
13370c8a08
1421771b6c
15147ced30
hexd417b54

222395220 has 120 divisors (see below), whose sum is σ = 704731104. Its totient is φ = 58705344.

The previous prime is 222395213. The next prime is 222395227. The reversal of 222395220 is 22593222.

222395220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (222395213) and next prime (222395227).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222395227) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 172699 + ... + 173981.

Almost surely, 2222395220 is an apocalyptic number.

222395220 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 222395220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352365552).

222395220 is an abundant number, since it is smaller than the sum of its proper divisors (482335884).

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

222395220 is a wasteful number, since it uses less digits than its factorization.

222395220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 222395220 is about 14912.9212430027. The cubic root of 222395220 is about 605.8640024199.

The spelling of 222395220 in words is "two hundred twenty-two million, three hundred ninety-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 107 108 135 162 180 214 270 321 324 405 428 535 540 642 810 963 1070 1283 1284 1605 1620 1926 2140 2566 2889 3210 3849 3852 4815 5132 5778 6415 6420 7698 8667 9630 11547 11556 12830 14445 15396 17334 19245 19260 23094 25660 28890 34641 34668 38490 43335 46188 57735 57780 69282 76980 86670 103923 115470 137281 138564 173205 173340 207846 230940 274562 346410 411843 415692 519615 549124 686405 692820 823686 1039230 1235529 1372810 1647372 2059215 2078460 2471058 2745620 3706587 4118430 4942116 6177645 7413174 8236860 11119761 12355290 14826348 18532935 22239522 24710580 37065870 44479044 55598805 74131740 111197610 222395220