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142232200 = 235211173803
BaseRepresentation
bin10000111101001…
…00101010001000
3100220122010220021
420132210222020
5242402412300
622040310224
73344645065
oct1036445210
9326563807
10142232200
1173317180
123b772374
132360c386
1414c65c6c
15c747d1a
hex87a4a88

142232200 has 96 divisors (see below), whose sum is σ = 382073760. Its totient is φ = 48665600.

The previous prime is 142232191. The next prime is 142232219. The reversal of 142232200 is 2232241.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35499 + ... + 39301.

It is an arithmetic number, because the mean of its divisors is an integer number (3979935).

Almost surely, 2142232200 is an apocalyptic number.

142232200 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 142232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191036880).

142232200 is an abundant number, since it is smaller than the sum of its proper divisors (239841560).

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

142232200 is a wasteful number, since it uses less digits than its factorization.

142232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3847 (or 3838 counting only the distinct ones).

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

The square root of 142232200 is about 11926.1142037128. The cubic root of 142232200 is about 521.9945586452.

Adding to 142232200 its reverse (2232241), we get a palindrome (144464441).

The spelling of 142232200 in words is "one hundred forty-two million, two hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 136 170 187 200 220 275 340 374 425 440 550 680 748 850 935 1100 1496 1700 1870 2200 3400 3740 3803 4675 7480 7606 9350 15212 18700 19015 30424 37400 38030 41833 64651 76060 83666 95075 129302 152120 167332 190150 209165 258604 323255 334664 380300 418330 517208 646510 711161 760600 836660 1045825 1293020 1422322 1616275 1673320 2091650 2586040 2844644 3232550 3555805 4183300 5689288 6465100 7111610 8366600 12930200 14223220 17779025 28446440 35558050 71116100 142232200