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30143200 = 255241919
BaseRepresentation
bin111001011111…
…1001011100000
32002201102200211
41302333023200
530204040300
62554023504
7514133023
oct162771340
962642624
1030143200
111601903a
12a117b94
136325219
1440091ba
1529a64ba
hex1cbf2e0

30143200 has 72 divisors (see below), whose sum is σ = 75463920. Its totient is φ = 11750400.

The previous prime is 30143189. The next prime is 30143207. The reversal of 30143200 is 234103.

It is a super-2 number, since 2×301432002 = 1817225012480000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30143207) 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, 32341 + ... + 33259.

It is an arithmetic number, because the mean of its divisors is an integer number (1048110).

Almost surely, 230143200 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 30143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37731960).

30143200 is an abundant number, since it is smaller than the sum of its proper divisors (45320720).

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

30143200 is a wasteful number, since it uses less digits than its factorization.

30143200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 30143200 is about 5490.2823242526. The cubic root of 30143200 is about 311.2168612536.

Adding to 30143200 its reverse (234103), we get a palindrome (30377303).

The spelling of 30143200 in words is "thirty million, one hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 80 82 100 160 164 200 205 328 400 410 656 800 820 919 1025 1312 1640 1838 2050 3280 3676 4100 4595 6560 7352 8200 9190 14704 16400 18380 22975 29408 32800 36760 37679 45950 73520 75358 91900 147040 150716 183800 188395 301432 367600 376790 602864 735200 753580 941975 1205728 1507160 1883950 3014320 3767900 6028640 7535800 15071600 30143200