Search a number
-
+
2210222023100 = 22527213192379399
BaseRepresentation
bin100000001010011011011…
…111111010000110111100
321211021222011200010000122
4200022123133322012330
5242203013314214400
64411210104314112
7315453235134500
oct40123337720674
97737864603018
102210222023100
11782393791263
122b8432a72938
13130566569210
1478d923aa300
153c75da69685
hex2029b7fa1bc

2210222023100 has 432 divisors, whose sum is σ = 6599702592000. Its totient is φ = 633862817280.

The previous prime is 2210222023063. The next prime is 2210222023129. The reversal of 2210222023100 is 13202220122.

It is a super-2 number, since 2×22102220231002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27797201 + ... + 27876599.

Almost surely, 22210222023100 is an apocalyptic number.

2210222023100 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 2210222023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3299851296000).

2210222023100 is an abundant number, since it is smaller than the sum of its proper divisors (4389480568900).

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

2210222023100 is a wasteful number, since it uses less digits than its factorization.

2210222023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79482 (or 79468 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 2210222023100 its reverse (13202220122), we get a palindrome (2223424243222).

The spelling of 2210222023100 in words is "two trillion, two hundred ten billion, two hundred twenty-two million, twenty-three thousand, one hundred".