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142220300 = 225217269311
BaseRepresentation
bin10000111101000…
…01110000001100
3100220121112120112
420132201300030
5242402022200
622040135152
73344565305
oct1036416014
9326545515
10142220300
1173309242
123b7674b8
1323606b31
1414c617ac
15c744535
hex87a1c0c

142220300 has 72 divisors (see below), whose sum is σ = 329041440. Its totient is φ = 53171200.

The previous prime is 142220231. The next prime is 142220311. The reversal of 142220300 is 3022241.

It is a super-2 number, since 2×1422203002 = 40453227464180000, which contains 22 as substring.

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, 457145 + ... + 457455.

It is an arithmetic number, because the mean of its divisors is an integer number (4570020).

Almost surely, 2142220300 is an apocalyptic number.

142220300 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 142220300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164520720).

142220300 is an abundant number, since it is smaller than the sum of its proper divisors (186821140).

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

142220300 is a wasteful number, since it uses less digits than its factorization.

142220300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 142220300 is about 11925.6152881099. The cubic root of 142220300 is about 521.9800005060.

Adding to 142220300 its reverse (3022241), we get a palindrome (145242541).

The spelling of 142220300 in words is "one hundred forty-two million, two hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 269 311 340 425 538 622 850 1076 1244 1345 1555 1700 2690 3110 4573 5287 5380 6220 6725 7775 9146 10574 13450 15550 18292 21148 22865 26435 26900 31100 45730 52870 83659 91460 105740 114325 132175 167318 228650 264350 334636 418295 457300 528700 836590 1422203 1673180 2091475 2844406 4182950 5688812 7111015 8365900 14222030 28444060 35555075 71110150 142220300