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2420330010 = 2357219193449
BaseRepresentation
bin1001000001000011…
…0100111000011010
320020200021111121020
42100100310320122
514424101030020
61040100023310
7113656315500
oct22020647032
96220244536
102420330010
11103223883a
12576691b36
132c7586347
1418d632670
15e273ec40
hex90434e1a

2420330010 has 192 divisors, whose sum is σ = 7165584000. Its totient is φ = 520224768.

The previous prime is 2420329993. The next prime is 2420330021. The reversal of 2420330010 is 100330242.

It is a super-4 number, since 4×24203300104 (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5390266 + ... + 5390714.

It is an arithmetic number, because the mean of its divisors is an integer number (37320750).

Almost surely, 22420330010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2420330010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582792000).

2420330010 is an abundant number, since it is smaller than the sum of its proper divisors (4745253990).

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

2420330010 is a wasteful number, since it uses less digits than its factorization.

2420330010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2420330010 is about 49196.8495942576. The cubic root of 2420330010 is about 1342.6357141149.

Adding to 2420330010 its reverse (100330242), we get a palindrome (2520660252).

The spelling of 2420330010 in words is "two billion, four hundred twenty million, three hundred thirty thousand, ten".