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2241340300 = 225231283281
BaseRepresentation
bin1000010110011000…
…0010001110001100
312210012110212212201
42011212002032030
514042240342200
61010223411244
7106354035553
oct20546021614
95705425781
102241340300
11a501a6161
12526753b24
13299477284
1417395cd9a
15d1b85c6a
hex8598238c

2241340300 has 108 divisors (see below), whose sum is σ = 5104313928. Its totient is φ = 854112000.

The previous prime is 2241340291. The next prime is 2241340303. The reversal of 2241340300 is 30431422.

It is not an unprimeable number, because it can be changed into a prime (2241340303) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7976160 + ... + 7976440.

It is an arithmetic number, because the mean of its divisors is an integer number (47262166).

Almost surely, 22241340300 is an apocalyptic number.

2241340300 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 2241340300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552156964).

2241340300 is an abundant number, since it is smaller than the sum of its proper divisors (2862973628).

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

2241340300 is a wasteful number, since it uses less digits than its factorization.

2241340300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2241340300 is about 47342.7956504472. The cubic root of 2241340300 is about 1308.6874369348.

Adding to 2241340300 its reverse (30431422), we get a palindrome (2271771722).

The spelling of 2241340300 in words is "two billion, two hundred forty-one million, three hundred forty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 83 100 124 155 166 281 310 332 415 562 620 775 830 961 1124 1405 1550 1660 1922 2075 2573 2810 3100 3844 4150 4805 5146 5620 7025 8300 8711 9610 10292 12865 14050 17422 19220 23323 24025 25730 28100 34844 43555 46646 48050 51460 64325 79763 87110 93292 96100 116615 128650 159526 174220 217775 233230 257300 270041 319052 398815 435550 466460 540082 583075 723013 797630 871100 1080164 1166150 1350205 1446026 1595260 1994075 2332300 2700410 2892052 3615065 3988150 5400820 6751025 7230130 7976300 13502050 14460260 18075325 22413403 27004100 36150650 44826806 72301300 89653612 112067015 224134030 448268060 560335075 1120670150 2241340300