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3142022200 = 235273307701
BaseRepresentation
bin1011101101000111…
…0111010000111000
322002222021021011121
42323101313100320
522413324202300
61235440235024
7140601514402
oct27321672070
98088237147
103142022200
111372653869
1273830ba74
133b0c4c145
1421b415b72
15135c9981a
hexbb477438

3142022200 has 96 divisors (see below), whose sum is σ = 7439992560. Its totient is φ = 1233792000.

The previous prime is 3142022189. The next prime is 3142022201. The reversal of 3142022200 is 22202413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3142022201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4481850 + ... + 4482550.

Almost surely, 23142022200 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 3142022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719996280).

3142022200 is an abundant number, since it is smaller than the sum of its proper divisors (4297970360).

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

3142022200 is a wasteful number, since it uses less digits than its factorization.

3142022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1088 counting only the distinct ones).

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

The square root of 3142022200 is about 56053.7438535554. The cubic root of 3142022200 is about 1464.6586351836.

Adding to 3142022200 its reverse (22202413), we get a palindrome (3164224613).

The spelling of 3142022200 in words is "three billion, one hundred forty-two million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 307 365 584 614 701 730 1228 1402 1460 1535 1825 2456 2804 2920 3070 3505 3650 5608 6140 7010 7300 7675 12280 14020 14600 15350 17525 22411 28040 30700 35050 44822 51173 61400 70100 89644 102346 112055 140200 179288 204692 215207 224110 255865 409384 430414 448220 511730 560275 860828 896440 1023460 1076035 1120550 1279325 1721656 2046920 2152070 2241100 2558650 4304140 4482200 5117300 5380175 8608280 10234600 10760350 15710111 21520700 31420222 43041400 62840444 78550555 125680888 157101110 314202220 392752775 628404440 785505550 1571011100 3142022200