Search a number
-
+
155419219200 = 283527231732
BaseRepresentation
bin1001000010111110110…
…1010001010100000000
3112212011102200101001210
42100233231101110000
510021244310003300
6155222033130120
714141301365100
oct2205755212400
9485142611053
10155419219200
115aa05108803
12261556b9940
131186b21b53b
1477453bb200
154099744050
hex242fb51500

155419219200 has 972 divisors, whose sum is σ = 624456782208. Its totient is φ = 33907507200.

The previous prime is 155419219121. The next prime is 155419219217. The reversal of 155419219200 is 2912914551.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2129030364 + ... + 2129030436.

Almost surely, 2155419219200 is an apocalyptic number.

155419219200 is a gapful number since it is divisible by the number (10) 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 155419219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312228391104).

155419219200 is an abundant number, since it is smaller than the sum of its proper divisors (469037563008).

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

155419219200 is an equidigital number, since it uses as much as digits as its factorization.

155419219200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 39.

The spelling of 155419219200 in words is "one hundred fifty-five billion, four hundred nineteen million, two hundred nineteen thousand, two hundred".