Search a number
-
+
222072200 = 235271271249
BaseRepresentation
bin11010011110010…
…00110110001000
3120110212102210022
431033020312020
5423322302300
634011440012
75334403550
oct1517106610
9513772708
10222072200
11104399149
1262456008
133701498c
14216ca160
1514769285
hexd3c8d88

222072200 has 96 divisors (see below), whose sum is σ = 595200000. Its totient is φ = 75479040.

The previous prime is 222072197. The next prime is 222072211. The reversal of 222072200 is 2270222.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177176 + ... + 178424.

It is an arithmetic number, because the mean of its divisors is an integer number (6200000).

Almost surely, 2222072200 is an apocalyptic number.

222072200 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 222072200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297600000).

222072200 is an abundant number, since it is smaller than the sum of its proper divisors (373127800).

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

222072200 is a wasteful number, since it uses less digits than its factorization.

222072200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 222072200 is about 14902.0871021478. The cubic root of 222072200 is about 605.5705293582.

The spelling of 222072200 in words is "two hundred twenty-two million, seventy-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 127 140 175 200 254 280 350 508 635 700 889 1016 1249 1270 1400 1778 2498 2540 3175 3556 4445 4996 5080 6245 6350 7112 8743 8890 9992 12490 12700 17486 17780 22225 24980 25400 31225 34972 35560 43715 44450 49960 62450 69944 87430 88900 124900 158623 174860 177800 218575 249800 317246 349720 437150 634492 793115 874300 1110361 1268984 1586230 1748600 2220722 3172460 3965575 4441444 5551805 6344920 7931150 8882888 11103610 15862300 22207220 27759025 31724600 44414440 55518050 111036100 222072200