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2421711700 = 225229978609
BaseRepresentation
bin1001000001011000…
…0110001101010100
320020202212200220221
42100112012031110
514424424233300
61040145404124
7114004131652
oct22026061524
96222780827
102421711700
111032aa1931
12577039644
132c794b205
1418d8b1dd2
15e291431a
hex90586354

2421711700 has 72 divisors (see below), whose sum is σ = 5493007800. Its totient is φ = 925532160.

The previous prime is 2421711689. The next prime is 2421711703. The reversal of 2421711700 is 71171242.

It can be written as a sum of positive squares in 12 ways, for example, as 972691344 + 1449020356 = 31188^2 + 38066^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2421711703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276996 + ... + 285604.

It is an arithmetic number, because the mean of its divisors is an integer number (76291775).

Almost surely, 22421711700 is an apocalyptic number.

2421711700 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 2421711700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2746503900).

2421711700 is an abundant number, since it is smaller than the sum of its proper divisors (3071296100).

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

2421711700 is a wasteful number, since it uses less digits than its factorization.

2421711700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8749 (or 8742 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 25.

The square root of 2421711700 is about 49210.8900549462. The cubic root of 2421711700 is about 1342.8911549621.

Adding to 2421711700 its reverse (71171242), we get a palindrome (2492882942).

The spelling of 2421711700 in words is "two billion, four hundred twenty-one million, seven hundred eleven thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 97 100 116 145 194 290 388 485 580 725 970 1450 1940 2425 2813 2900 4850 5626 8609 9700 11252 14065 17218 28130 34436 43045 56260 70325 86090 140650 172180 215225 249661 281300 430450 499322 835073 860900 998644 1248305 1670146 2496610 3340292 4175365 4993220 6241525 8350730 12483050 16701460 20876825 24217117 24966100 41753650 48434234 83507300 96868468 121085585 242171170 484342340 605427925 1210855850 2421711700