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2244003200 = 27523122621
BaseRepresentation
bin1000010111000000…
…1100010110000000
312210101111011200122
42011300030112000
514043431100300
61010400435412
7106415466245
oct20560142600
95711434618
102244003200
11a517548aa
12527618b68
13299b9a35a
141740535cc
15d200ec85
hex85c0c580

2244003200 has 96 divisors (see below), whose sum is σ = 5722461120. Its totient is φ = 868608000.

The previous prime is 2244003193. The next prime is 2244003221. The reversal of 2244003200 is 23004422.

It is a super-2 number, since 2×22440032002 = 10071100723220480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87890 + ... + 110510.

It is an arithmetic number, because the mean of its divisors is an integer number (59608970).

Almost surely, 22244003200 is an apocalyptic number.

2244003200 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 2244003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2861230560).

2244003200 is an abundant number, since it is smaller than the sum of its proper divisors (3478457920).

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

2244003200 is a wasteful number, since it uses less digits than its factorization.

2244003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22676 (or 22659 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 2244003200 is about 47370.9109053225. The cubic root of 2244003200 is about 1309.2055085796.

Adding to 2244003200 its reverse (23004422), we get a palindrome (2267007622).

The spelling of 2244003200 in words is "two billion, two hundred forty-four million, three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 128 155 160 200 248 310 320 400 496 620 640 775 800 992 1240 1550 1600 1984 2480 3100 3200 3968 4960 6200 9920 12400 19840 22621 24800 45242 49600 90484 99200 113105 180968 226210 361936 452420 565525 701251 723872 904840 1131050 1402502 1447744 1809680 2262100 2805004 2895488 3506255 3619360 4524200 5610008 7012510 7238720 9048400 11220016 14025020 14477440 17531275 18096800 22440032 28050040 35062550 36193600 44880064 56100080 70125100 72387200 89760128 112200160 140250200 224400320 280500400 448800640 561000800 1122001600 2244003200