Search a number
-
+
2420226276 = 2231343421857
BaseRepresentation
bin1001000001000001…
…1011100011100100
320020200002020022020
42100100123203210
514424034220101
61040053503140
7113655404166
oct22020334344
96220066266
102420226276
111032177906
12576641ab0
132c754b070
1418d606936
15e271e136
hex9041b8e4

2420226276 has 96 divisors (see below), whose sum is σ = 6245086848. Its totient is φ = 724792320.

The previous prime is 2420226271. The next prime is 2420226293. The reversal of 2420226276 is 6726220242.

It is not an unprimeable number, because it can be changed into a prime (2420226271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2823640 + ... + 2824496.

It is an arithmetic number, because the mean of its divisors is an integer number (65052988).

Almost surely, 22420226276 is an apocalyptic number.

2420226276 is a gapful number since it is divisible by the number (26) 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 2420226276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3122543424).

2420226276 is an abundant number, since it is smaller than the sum of its proper divisors (3824860572).

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

2420226276 is a wasteful number, since it uses less digits than its factorization.

2420226276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 2420226276 is about 49195.7953081358. The cubic root of 2420226276 is about 1342.6165323006.

The spelling of 2420226276 in words is "two billion, four hundred twenty million, two hundred twenty-six thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 86 129 156 172 258 421 516 559 842 857 1118 1263 1677 1684 1714 2236 2526 2571 3354 3428 5052 5142 5473 6708 10284 10946 11141 16419 18103 21892 22282 32838 33423 36206 36851 44564 54309 65676 66846 72412 73702 108618 110553 133692 147404 217236 221106 235339 360797 442212 470678 479063 706017 721594 941356 958126 1082391 1412034 1437189 1443188 1916252 2164782 2824068 2874378 4329564 4690361 5748756 9380722 14071083 15514271 18761444 28142166 31028542 46542813 56284332 62057084 93085626 186171252 201685523 403371046 605056569 806742092 1210113138 2420226276