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3144233200 = 245264112263
BaseRepresentation
bin1011101101101001…
…0011000011110000
322010010102121002111
42323122103003300
522414410430300
61235555455104
7140626353433
oct27332230360
98103377074
103144233200
111373923a39
12738bb7494
133b1544624
1421b82d81a
151360849ba
hexbb6930f0

3144233200 has 60 divisors (see below), whose sum is σ = 7566421968. Its totient is φ = 1255628800.

The previous prime is 3144233189. The next prime is 3144233201. The reversal of 3144233200 is 23324413.

It is a happy number.

3144233200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144233201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250269 + ... + 262531.

Almost surely, 23144233200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3144233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3783210984).

3144233200 is an abundant number, since it is smaller than the sum of its proper divisors (4422188768).

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

3144233200 is a wasteful number, since it uses less digits than its factorization.

3144233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12922 (or 12911 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3144233200 is about 56073.4625290788. The cubic root of 3144233200 is about 1465.0021083500.

Adding to 3144233200 its reverse (23324413), we get a palindrome (3167557613).

The spelling of 3144233200 in words is "three billion, one hundred forty-four million, two hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 641 1282 2564 3205 5128 6410 10256 12263 12820 16025 24526 25640 32050 49052 51280 61315 64100 98104 122630 128200 196208 245260 256400 306575 490520 613150 981040 1226300 2452600 4905200 7860583 15721166 31442332 39302915 62884664 78605830 125769328 157211660 196514575 314423320 393029150 628846640 786058300 1572116600 3144233200