Search a number
-
+
242011224200 = 23527369164209
BaseRepresentation
bin1110000101100011111…
…1100011100010001000
3212010200011210222221002
43201120333203202020
512431114333133300
6303102312234132
723325156315134
oct3413077434210
9763604728832
10242011224200
11937000327a9
123aaa109b948
1319a8ac78915
14b9db82a3c4
1564667d95d5
hex3858fe3888

242011224200 has 48 divisors (see below), whose sum is σ = 562755880500. Its totient is φ = 96790763520.

The previous prime is 242011224193. The next prime is 242011224209. The reversal of 242011224200 is 2422110242.

It can be written as a sum of positive squares in 6 ways, for example, as 98311094116 + 143700130084 = 313546^2 + 379078^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (242011224209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1391696 + ... + 1555904.

Almost surely, 2242011224200 is an apocalyptic number.

242011224200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242011224200 is an abundant number, since it is smaller than the sum of its proper divisors (320744656300).

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

242011224200 is a wasteful number, since it uses less digits than its factorization.

242011224200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171594 (or 171585 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 242011224200 its reverse (2422110242), we get a palindrome (244433334442).

The spelling of 242011224200 in words is "two hundred forty-two billion, eleven million, two hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 7369 14738 29476 36845 58952 73690 147380 164209 184225 294760 328418 368450 656836 736900 821045 1313672 1473800 1642090 3284180 4105225 6568360 8210450 16420900 32841800 1210056121 2420112242 4840224484 6050280605 9680448968 12100561210 24201122420 30251403025 48402244840 60502806050 121005612100 242011224200