Search a number
-
+
2204305125000 = 23356111134729
BaseRepresentation
bin100000000100111010110…
…100101110111010001000
321210201200210222112201120
4200010322310232322020
5242103404103000000
64404351020515240
7315153510261636
oct40047264567210
97721623875646
102204305125000
1177a927860130
122b72613abb20
1312cb32778694
1478990630356
153c5143996a0
hex2013ad2ee88

2204305125000 has 448 divisors, whose sum is σ = 7582684190400. Its totient is φ = 529536000000.

The previous prime is 2204305124999. The next prime is 2204305125013. The reversal of 2204305125000 is 5215034022.

It is a super-2 number, since 2×22043051250002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 466122636 + ... + 466127364.

Almost surely, 22204305125000 is an apocalyptic number.

2204305125000 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 2204305125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3791342095200).

2204305125000 is an abundant number, since it is smaller than the sum of its proper divisors (5378379065400).

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

2204305125000 is a wasteful number, since it uses less digits than its factorization.

2204305125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4892 (or 4863 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The spelling of 2204305125000 in words is "two trillion, two hundred four billion, three hundred five million, one hundred twenty-five thousand".