Search a number
-
+
2232201000120 = 23357132937190507
BaseRepresentation
bin100000011110111001100…
…011000011010010111000
321220101200220222211101120
4200132321203003102320
5243033021424000440
64425243050145240
7320162010303630
oct40367143032270
97811626884346
102232201000120
117907422a8a83
12300747722220
13132659c3a270
147a0794376c0
153d0e83e3dd0
hex207b98c34b8

2232201000120 has 512 divisors, whose sum is σ = 8756662118400. Its totient is φ = 442437230592.

The previous prime is 2232201000103. The next prime is 2232201000167. The reversal of 2232201000120 is 210001022322.

It is a happy number.

It is a super-3 number, since 3×22322010001203 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2232201000120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11621907 + ... + 11812413.

It is an arithmetic number, because the mean of its divisors is an integer number (17102855700).

Almost surely, 22232201000120 is an apocalyptic number.

2232201000120 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 2232201000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4378331059200).

2232201000120 is an abundant number, since it is smaller than the sum of its proper divisors (6524461118280).

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

2232201000120 is a wasteful number, since it uses less digits than its factorization.

2232201000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190607 (or 190603 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2232201000120 its reverse (210001022322), we get a palindrome (2442202022442).

The spelling of 2232201000120 in words is "two trillion, two hundred thirty-two billion, two hundred one million, one hundred twenty", and thus it is an aban number.