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2241030400 = 2852750023
BaseRepresentation
bin1000010110010011…
…0110100100000000
312210011220010202221
42011210312210000
514042200433100
61010213020424
7106351305220
oct20544664400
95704803687
102241030400
11a50004344
12526624714
132993991bb
141738bc080
15d1b2401a
hex85936900

2241030400 has 108 divisors (see below), whose sum is σ = 6339441472. Its totient is φ = 768337920.

The previous prime is 2241030353. The next prime is 2241030427. The reversal of 2241030400 is 40301422.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19789 + ... + 69811.

Almost surely, 22241030400 is an apocalyptic number.

2241030400 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 2241030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169720736).

2241030400 is an abundant number, since it is smaller than the sum of its proper divisors (4098411072).

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

2241030400 is an equidigital number, since it uses as much as digits as its factorization.

2241030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50056 (or 50037 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2241030400 is about 47339.5226000432. The cubic root of 2241030400 is about 1308.6271187211.

Adding to 2241030400 its reverse (40301422), we get a palindrome (2281331822).

The spelling of 2241030400 in words is "two billion, two hundred forty-one million, thirty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 256 280 320 350 400 448 560 640 700 800 896 1120 1280 1400 1600 1792 2240 2800 3200 4480 5600 6400 8960 11200 22400 44800 50023 100046 200092 250115 350161 400184 500230 700322 800368 1000460 1250575 1400644 1600736 1750805 2000920 2501150 2801288 3201472 3501610 4001840 5002300 5602576 6402944 7003220 8003680 8754025 10004600 11205152 12805888 14006440 16007360 17508050 20009200 22410304 28012880 32014720 35016100 40018400 44820608 56025760 64029440 70032200 80036800 89641216 112051520 140064400 160073600 224103040 280128800 320147200 448206080 560257600 1120515200 2241030400