Search a number
-
+
21199506240 = 2635113122089
BaseRepresentation
bin10011101111100101…
…101100101101000000
32000201102121111110210
4103233211230231000
5321404033144430
613423334554120
71350225554433
oct235745545500
960642544423
1021199506240
118a996288a0
124137808940
131ccb058443
14105172781a
1584120a2b0
hex4ef96cb40

21199506240 has 336 divisors, whose sum is σ = 75908733120. Its totient is φ = 4971110400.

The previous prime is 21199506221. The next prime is 21199506241. The reversal of 21199506240 is 4260599112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21199506241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10147116 + ... + 10149204.

Almost surely, 221199506240 is an apocalyptic number.

21199506240 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 21199506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37954366560).

21199506240 is an abundant number, since it is smaller than the sum of its proper divisors (54709226880).

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

21199506240 is a wasteful number, since it uses less digits than its factorization.

21199506240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 21199506240 in words is "twenty-one billion, one hundred ninety-nine million, five hundred six thousand, two hundred forty".