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2241334100 = 2252311275693
BaseRepresentation
bin1000010110011000…
…0000101101010100
312210012110120101002
42011212000231110
514042240142400
61010223322432
7106354011515
oct20546005524
95705416332
102241334100
11a501a1535
12526750418
132994744c5
1417395aa0c
15d1b83ed5
hex85980b54

2241334100 has 72 divisors (see below), whose sum is σ = 5061009408. Its totient is φ = 860630400.

The previous prime is 2241334099. The next prime is 2241334103. The reversal of 2241334100 is 14331422.

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 (2241334103) 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, 390854 + ... + 396546.

Almost surely, 22241334100 is an apocalyptic number.

2241334100 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 2241334100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530504704).

2241334100 is an abundant number, since it is smaller than the sum of its proper divisors (2819675308).

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

2241334100 is a wasteful number, since it uses less digits than its factorization.

2241334100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5865 (or 5858 counting only the distinct ones).

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

The square root of 2241334100 is about 47342.7301705341. The cubic root of 2241334100 is about 1308.6862302358.

Adding to 2241334100 its reverse (14331422), we get a palindrome (2255665522).

The spelling of 2241334100 in words is "two billion, two hundred forty-one million, three hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 127 155 254 310 508 620 635 775 1270 1550 2540 3100 3175 3937 5693 6350 7874 11386 12700 15748 19685 22772 28465 39370 56930 78740 98425 113860 142325 176483 196850 284650 352966 393700 569300 705932 723011 882415 1446022 1764830 2892044 3529660 3615055 4412075 7230110 8824150 14460220 17648300 18075275 22413341 36150550 44826682 72301100 89653364 112066705 224133410 448266820 560333525 1120667050 2241334100