Search a number
-
+
2222030000 = 2454239661
BaseRepresentation
bin1000010001110001…
…0111110010110000
312201212010211010102
42010130113302300
514022314430000
61004253451532
7106030641401
oct20434276260
95655124112
102222030000
11a40307033
125201a0ba8
13295475a68
141711739a8
15d011e3d5
hex84717cb0

2222030000 has 100 divisors (see below), whose sum is σ = 5614240368. Its totient is φ = 850080000.

The previous prime is 2222029969. The next prime is 2222030003. The reversal of 2222030000 is 302222.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (2222030003) 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, 225170 + ... + 234830.

Almost surely, 22222030000 is an apocalyptic number.

2222030000 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 2222030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807120184).

2222030000 is an abundant number, since it is smaller than the sum of its proper divisors (3392210368).

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

2222030000 is an equidigital number, since it uses as much as digits as its factorization.

2222030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9712 (or 9691 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 2222030000 is about 47138.4132104593. The cubic root of 2222030000 is about 1304.9182530768.

Adding to 2222030000 its reverse (302222), we get a palindrome (2222332222).

The spelling of 2222030000 in words is "two billion, two hundred twenty-two million, thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 625 920 1000 1150 1250 1840 2000 2300 2500 2875 4600 5000 5750 9200 9661 10000 11500 14375 19322 23000 28750 38644 46000 48305 57500 77288 96610 115000 154576 193220 222203 230000 241525 386440 444406 483050 772880 888812 966100 1111015 1207625 1777624 1932200 2222030 2415250 3555248 3864400 4444060 4830500 5555075 6038125 8888120 9661000 11110150 12076250 17776240 19322000 22220300 24152500 27775375 44440600 48305000 55550750 88881200 96610000 111101500 138876875 222203000 277753750 444406000 555507500 1111015000 2222030000