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2231343200 = 255211324683
BaseRepresentation
bin1000010011111111…
…1001100001100000
312202111122222102202
42010333321201200
514032210440300
61005225232332
7106203050522
oct20477714140
95674588382
102231343200
11a45598199
125233326a8
13297386b28
141724b9a12
15d0d5dad5
hex84ff9860

2231343200 has 72 divisors (see below), whose sum is σ = 5495695128. Its totient is φ = 884602880.

The previous prime is 2231343193. The next prime is 2231343239. The reversal of 2231343200 is 23431322.

It is a super-3 number, since 3×22313432003 (a number of 29 digits) contains 333 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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78059 + ... + 102741.

It is an arithmetic number, because the mean of its divisors is an integer number (76329099).

Almost surely, 22231343200 is an apocalyptic number.

2231343200 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 2231343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747847564).

2231343200 is an abundant number, since it is smaller than the sum of its proper divisors (3264351928).

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

2231343200 is a wasteful number, since it uses less digits than its factorization.

2231343200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24816 (or 24803 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2231343200 is about 47237.0955923414. The cubic root of 2231343200 is about 1306.7388143327.

Adding to 2231343200 its reverse (23431322), we get a palindrome (2254774522).

The spelling of 2231343200 in words is "two billion, two hundred thirty-one million, three hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 113 160 200 226 400 452 565 800 904 1130 1808 2260 2825 3616 4520 5650 9040 11300 18080 22600 24683 45200 49366 90400 98732 123415 197464 246830 394928 493660 617075 789856 987320 1234150 1974640 2468300 2789179 3949280 4936600 5578358 9873200 11156716 13945895 19746400 22313432 27891790 44626864 55783580 69729475 89253728 111567160 139458950 223134320 278917900 446268640 557835800 1115671600 2231343200