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2421741300 = 22352112331907
BaseRepresentation
bin1001000001011000…
…1101011011110100
320020202221012112020
42100112031123310
514424431210200
61040150153140
7114004314156
oct22026153364
96222835466
102421741300
1110330120a0
125770527b0
132c795b824
1418d8bcad6
15e291cea0
hex9058d6f4

2421741300 has 144 divisors (see below), whose sum is σ = 7976489472. Its totient is φ = 561545600.

The previous prime is 2421741293. The next prime is 2421741313. The reversal of 2421741300 is 31471242.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59947 + ... + 91853.

It is an arithmetic number, because the mean of its divisors is an integer number (55392288).

Almost surely, 22421741300 is an apocalyptic number.

2421741300 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 2421741300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3988244736).

2421741300 is an abundant number, since it is smaller than the sum of its proper divisors (5554748172).

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

2421741300 is a wasteful number, since it uses less digits than its factorization.

2421741300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31958 (or 31951 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2421741300 is about 49211.1908004673. The cubic root of 2421741300 is about 1342.8966262184.

The spelling of 2421741300 in words is "two billion, four hundred twenty-one million, seven hundred forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 25 30 33 44 46 50 55 60 66 69 75 92 100 110 115 132 138 150 165 220 230 253 275 276 300 330 345 460 506 550 575 660 690 759 825 1012 1100 1150 1265 1380 1518 1650 1725 2300 2530 3036 3300 3450 3795 5060 6325 6900 7590 12650 15180 18975 25300 31907 37950 63814 75900 95721 127628 159535 191442 319070 350977 382884 478605 638140 701954 733861 797675 957210 1052931 1403908 1467722 1595350 1754885 1914420 2105862 2201583 2393025 2935444 3190700 3509770 3669305 4211724 4403166 4786050 5264655 7019540 7338610 8072471 8774425 8806332 9572100 10529310 11007915 14677220 16144942 17548850 18346525 21058620 22015830 24217413 26323275 32289884 35097700 36693050 40362355 44031660 48434826 52646550 55039575 73386100 80724710 96869652 105293100 110079150 121087065 161449420 201811775 220158300 242174130 403623550 484348260 605435325 807247100 1210870650 2421741300