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2421202420 = 22571310712433
BaseRepresentation
bin1001000001010000…
…1001110111110100
320020201220211022201
42100110021313310
514424311434140
61040130434244
7113666611120
oct22024116764
96221824281
102421202420
11103278423a
12576a32984
132c7800470
1418d7bc580
15e286349a
hex90509df4

2421202420 has 96 divisors (see below), whose sum is σ = 6316869888. Its totient is φ = 759048192.

The previous prime is 2421202367. The next prime is 2421202439. The reversal of 2421202420 is 242021242.

It is a super-2 number, since 2×24212024202 = 11724442317227712800, which 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 31 ways as a sum of consecutive naturals, for example, 188524 + ... + 200956.

It is an arithmetic number, because the mean of its divisors is an integer number (65800728).

Almost surely, 22421202420 is an apocalyptic number.

2421202420 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 2421202420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3158434944).

2421202420 is an abundant number, since it is smaller than the sum of its proper divisors (3895667468).

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

2421202420 is a wasteful number, since it uses less digits than its factorization.

2421202420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12569 (or 12567 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 2421202420 is about 49205.7153184465. The cubic root of 2421202420 is about 1342.7970127961.

Adding to 2421202420 its reverse (242021242), we get a palindrome (2663223662).

The spelling of 2421202420 in words is "two billion, four hundred twenty-one million, two hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 107 130 140 182 214 260 364 428 455 535 749 910 1070 1391 1498 1820 2140 2782 2996 3745 5564 6955 7490 9737 12433 13910 14980 19474 24866 27820 38948 48685 49732 62165 87031 97370 124330 161629 174062 194740 248660 323258 348124 435155 646516 808145 870310 1131403 1330331 1616290 1740620 2262806 2660662 3232580 4525612 5321324 5657015 6651655 9312317 11314030 13303310 17294303 18624634 22628060 26606620 34588606 37249268 46561585 69177212 86471515 93123170 121060121 172943030 186246340 242120242 345886060 484240484 605300605 1210601210 2421202420