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331132242 = 23723373919
BaseRepresentation
bin10011101111001…
…010110101010010
3212002002021001010
4103233022311102
51134232212432
652505151350
711130402060
oct2357126522
9762067033
10331132242
1115aa08611
1292a8b556
13537ab24c
1431d99030
151e10d3cc
hex13bcad52

331132242 has 64 divisors (see below), whose sum is σ = 792760320. Its totient is φ = 90154944.

The previous prime is 331132229. The next prime is 331132253. The reversal of 331132242 is 242231133.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359859 + ... + 360777.

It is an arithmetic number, because the mean of its divisors is an integer number (12386880).

Almost surely, 2331132242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331132242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396380160).

331132242 is an abundant number, since it is smaller than the sum of its proper divisors (461628078).

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

331132242 is a wasteful number, since it uses less digits than its factorization.

331132242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327.

The product of its digits is 864, while the sum is 21.

The square root of 331132242 is about 18197.0393745796. The cubic root of 331132242 is about 691.8317512823.

Adding to 331132242 its reverse (242231133), we get a palindrome (573363375).

It can be divided in two parts, 3311 and 32242, that added together give a palindrome (35553).

The spelling of 331132242 in words is "three hundred thirty-one million, one hundred thirty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 373 483 746 919 966 1119 1838 2238 2611 2757 5222 5514 6433 7833 8579 12866 15666 17158 19299 21137 25737 38598 42274 51474 60053 63411 120106 126822 147959 180159 295918 342787 360318 443877 685574 887754 1028361 2056722 2399509 4799018 7198527 7884101 14397054 15768202 23652303 47304606 55188707 110377414 165566121 331132242