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2241341300 = 2252116133403
BaseRepresentation
bin1000010110011000…
…0010011101110100
312210012110221020202
42011212002131310
514042240410200
61010223420032
7106354041512
oct20546023564
95705427222
102241341300
11a501a6990
12526754618
13299477873
1417395d4b2
15d1b861d5
hex85982774

2241341300 has 72 divisors (see below), whose sum is σ = 5393008992. Its totient is φ = 801648000.

The previous prime is 2241341287. The next prime is 2241341303. The reversal of 2241341300 is 31431422.

It is a super-2 number, since 2×22413413002 = 10047221646171380000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241341303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50399 + ... + 83801.

Almost surely, 22241341300 is an apocalyptic number.

2241341300 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 2241341300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2696504496).

2241341300 is an abundant number, since it is smaller than the sum of its proper divisors (3151667692).

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

2241341300 is a wasteful number, since it uses less digits than its factorization.

2241341300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33489 (or 33482 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2241341300 is about 47342.8062117150. The cubic root of 2241341300 is about 1308.6876315635.

Adding to 2241341300 its reverse (31431422), we get a palindrome (2272772722).

The spelling of 2241341300 in words is "two billion, two hundred forty-one million, three hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 61 100 110 122 220 244 275 305 550 610 671 1100 1220 1342 1525 2684 3050 3355 6100 6710 13420 16775 33403 33550 66806 67100 133612 167015 334030 367433 668060 734866 835075 1469732 1670150 1837165 2037583 3340300 3674330 4075166 7348660 8150332 9185825 10187915 18371650 20375830 22413413 36743300 40751660 44826826 50939575 89653652 101879150 112067065 203758300 224134130 448268260 560335325 1120670650 2241341300