Search a number
-
+
222440000 = 26546783
BaseRepresentation
bin11010100001000…
…10101001000000
3120111120010022112
431100202221000
5423421040000
634023354452
75340465056
oct1520425100
9514503275
10222440000
1110461a512
12625b2a28
1337113203
14217841d6
15147dd235
hexd422a40

222440000 has 140 divisors (see below), whose sum is σ = 566556144. Its totient is φ = 86592000.

The previous prime is 222439999. The next prime is 222440003. The reversal of 222440000 is 44222.

It is a happy number.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (222440003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2679959 + ... + 2680041.

Almost surely, 2222440000 is an apocalyptic number.

222440000 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 222440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283278072).

222440000 is an abundant number, since it is smaller than the sum of its proper divisors (344116144).

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

222440000 is an frugal number, since it uses more digits than its factorization.

222440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 222440000 is about 14914.4225500017. The cubic root of 222440000 is about 605.9046639192.

Adding to 222440000 its reverse (44222), we get a palindrome (222484222).

It can be divided in two parts, 2224 and 40000, that added together give a palindrome (42224).

The spelling of 222440000 in words is "two hundred twenty-two million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 67 80 83 100 125 134 160 166 200 250 268 320 332 335 400 415 500 536 625 664 670 800 830 1000 1072 1250 1328 1340 1600 1660 1675 2000 2075 2144 2500 2656 2680 3320 3350 4000 4150 4288 5000 5312 5360 5561 6640 6700 8000 8300 8375 10000 10375 10720 11122 13280 13400 16600 16750 20000 20750 21440 22244 26560 26800 27805 33200 33500 40000 41500 41875 44488 51875 53600 55610 66400 67000 83000 83750 88976 103750 107200 111220 132800 134000 139025 166000 167500 177952 207500 222440 268000 278050 332000 335000 355904 415000 444880 536000 556100 664000 670000 695125 830000 889760 1112200 1340000 1390250 1660000 1779520 2224400 2680000 2780500 3320000 3475625 4448800 5561000 6951250 8897600 11122000 13902500 22244000 27805000 44488000 55610000 111220000 222440000