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2203140400 = 245238914159
BaseRepresentation
bin1000001101010001…
…0100000100110000
312200112121010110121
42003110110010300
514003000443100
61002340540024
7105411245566
oct20324240460
95615533417
102203140400
11a30684a9a
125159b1614
13291590b96
1416c857a36
15cd63c51a
hex83514130

2203140400 has 60 divisors (see below), whose sum is σ = 5307026400. Its totient is φ = 878928640.

The previous prime is 2203140341. The next prime is 2203140427. The reversal of 2203140400 is 40413022.

It is a super-2 number, since 2×22031404002 = 9707655244224320000, which contains 22 as substring.

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

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, 148521 + ... + 162679.

It is an arithmetic number, because the mean of its divisors is an integer number (88450440).

Almost surely, 22203140400 is an apocalyptic number.

2203140400 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 2203140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2653513200).

2203140400 is an abundant number, since it is smaller than the sum of its proper divisors (3103886000).

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

2203140400 is a wasteful number, since it uses less digits than its factorization.

2203140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14566 (or 14555 counting only the distinct ones).

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

The square root of 2203140400 is about 46937.6224365913. The cubic root of 2203140400 is about 1301.2099976845.

Adding to 2203140400 its reverse (40413022), we get a palindrome (2243553422).

The spelling of 2203140400 in words is "two billion, two hundred three million, one hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 389 400 778 1556 1945 3112 3890 6224 7780 9725 14159 15560 19450 28318 31120 38900 56636 70795 77800 113272 141590 155600 226544 283180 353975 566360 707950 1132720 1415900 2831800 5507851 5663600 11015702 22031404 27539255 44062808 55078510 88125616 110157020 137696275 220314040 275392550 440628080 550785100 1101570200 2203140400