Search a number
-
+
2102230000 = 245413103157
BaseRepresentation
bin111110101001101…
…0111101111110000
312102111201100102101
41331103113233300
513301132330000
6544334030144
7103044442303
oct17523275760
95374640371
102102230000
11989721572
124a8048354
132766bbba0
1415d2aab3a
15c4857e6a
hex7d4d7bf0

2102230000 has 200 divisors, whose sum is σ = 5569692128. Its totient is φ = 763776000.

The previous prime is 2102229973. The next prime is 2102230019. The reversal of 2102230000 is 322012.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-4 number, since 4×21022300004 (a number of 38 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13389922 + ... + 13390078.

Almost surely, 22102230000 is an apocalyptic number.

2102230000 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 2102230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784846064).

2102230000 is an abundant number, since it is smaller than the sum of its proper divisors (3467462128).

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

2102230000 is a wasteful number, since it uses less digits than its factorization.

2102230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2102230000 is about 45850.0817883676. The cubic root of 2102230000 is about 1281.0322890049.

Adding to 2102230000 its reverse (322012), we get a palindrome (2102552012).

The spelling of 2102230000 in words is "two billion, one hundred two million, two hundred thirty thousand".