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2241142332 = 22311131306027
BaseRepresentation
bin1000010110010101…
…0001111000111100
312210012002211022120
42011211101320330
514042213023312
61010215242540
7106352252442
oct20545217074
95705084276
102241142332
11a50080450
12526679450
13299408130
1417390ab92
15d1b4728c
hex85951e3c

2241142332 has 48 divisors (see below), whose sum is σ = 6143555712. Its totient is φ = 626892480.

The previous prime is 2241142331. The next prime is 2241142339. The reversal of 2241142332 is 2332411422.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241142331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651298 + ... + 654729.

It is an arithmetic number, because the mean of its divisors is an integer number (127990744).

Almost surely, 22241142332 is an apocalyptic number.

2241142332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2241142332 is an abundant number, since it is smaller than the sum of its proper divisors (3902413380).

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

2241142332 is a wasteful number, since it uses less digits than its factorization.

2241142332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306058 (or 1306056 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 2241142332 is about 47340.7048109764. The cubic root of 2241142332 is about 1308.6489055462.

Adding to 2241142332 its reverse (2332411422), we get a palindrome (4573553754).

The spelling of 2241142332 in words is "two billion, two hundred forty-one million, one hundred forty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1716 1306027 2612054 3918081 5224108 7836162 14366297 15672324 16978351 28732594 33956702 43098891 50935053 57465188 67913404 86197782 101870106 172395564 186761861 203740212 373523722 560285583 747047444 1120571166 2241142332