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2242013300 = 2252199071301
BaseRepresentation
bin1000010110100010…
…0110100001110100
312210020202002001122
42011220212201310
514042423411200
61010250043112
7106362540632
oct20550464164
95706662048
102242013300
11a5061585a
12526a19498
132996516b7
14173a96352
15d1c6a385
hex85a26874

2242013300 has 72 divisors (see below), whose sum is σ = 5130817440. Its totient is φ = 848016000.

The previous prime is 2242013269. The next prime is 2242013327. The reversal of 2242013300 is 33102422.

It is a congruent number.

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, 1722650 + ... + 1723950.

Almost surely, 22242013300 is an apocalyptic number.

2242013300 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 2242013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2565408720).

2242013300 is an abundant number, since it is smaller than the sum of its proper divisors (2888804140).

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

2242013300 is a wasteful number, since it uses less digits than its factorization.

2242013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2242013300 is about 47349.9028510091. The cubic root of 2242013300 is about 1308.8184089410.

Adding to 2242013300 its reverse (33102422), we get a palindrome (2275115722).

The spelling of 2242013300 in words is "two billion, two hundred forty-two million, thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 907 950 1301 1814 1900 2602 3628 4535 5204 6505 9070 13010 17233 18140 22675 24719 26020 32525 34466 45350 49438 65050 68932 86165 90700 98876 123595 130100 172330 247190 344660 430825 494380 617975 861650 1180007 1235950 1723300 2360014 2471900 4720028 5900035 11800070 22420133 23600140 29500175 44840266 59000350 89680532 112100665 118000700 224201330 448402660 560503325 1121006650 2242013300