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142204200 = 23352892663
BaseRepresentation
bin10000111100111…
…01110100101000
3100220120201111020
420132131310220
5242401013300
622035532440
73344500335
oct1036356450
9326521436
10142204200
11732a8136
123b75a120
13235cc6c8
1414c5998c
15c73e8a0
hex879dd28

142204200 has 96 divisors (see below), whose sum is σ = 445953600. Its totient is φ = 37480960.

The previous prime is 142204171. The next prime is 142204207. The reversal of 142204200 is 2402241.

142204200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 142204200.

It is not an unprimeable number, because it can be changed into a prime (142204207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52069 + ... + 54731.

It is an arithmetic number, because the mean of its divisors is an integer number (4645350).

Almost surely, 2142204200 is an apocalyptic number.

142204200 is a gapful number since it is divisible by the number (10) 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 142204200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222976800).

142204200 is an abundant number, since it is smaller than the sum of its proper divisors (303749400).

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

142204200 is a wasteful number, since it uses less digits than its factorization.

142204200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2771 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 142204200 is about 11924.9402514226. The cubic root of 142204200 is about 521.9603029074.

Adding to 142204200 its reverse (2402241), we get a palindrome (144606441).

The spelling of 142204200 in words is "one hundred forty-two million, two hundred four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 89 100 120 150 178 200 267 300 356 445 534 600 712 890 1068 1335 1780 2136 2225 2663 2670 3560 4450 5326 5340 6675 7989 8900 10652 10680 13315 13350 15978 17800 21304 26630 26700 31956 39945 53260 53400 63912 66575 79890 106520 133150 159780 199725 237007 266300 319560 399450 474014 532600 711021 798900 948028 1185035 1422042 1597800 1896056 2370070 2844084 3555105 4740140 5688168 5925175 7110210 9480280 11850350 14220420 17775525 23700700 28440840 35551050 47401400 71102100 142204200