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145444200 = 233521122037
BaseRepresentation
bin10001010101101…
…00110101101000
3101010200022221020
420222310311220
5244213203300
622233212440
73414153366
oct1052646550
9333608836
10145444200
1175110420
1240861120
1324195375
1415460636
15cb7e8a0
hex8ab4d68

145444200 has 96 divisors (see below), whose sum is σ = 491888160. Its totient is φ = 35257600.

The previous prime is 145444153. The next prime is 145444207. The reversal of 145444200 is 2444541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (145444207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4419 + ... + 17618.

It is an arithmetic number, because the mean of its divisors is an integer number (5123835).

Almost surely, 2145444200 is an apocalyptic number.

145444200 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 145444200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245944080).

145444200 is an abundant number, since it is smaller than the sum of its proper divisors (346443960).

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

145444200 is a wasteful number, since it uses less digits than its factorization.

145444200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22067 (or 22058 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 145444200 is about 12060.0248755962. The cubic root of 145444200 is about 525.8947101875.

Adding to 145444200 its reverse (2444541), we get a palindrome (147888741).

It can be divided in two parts, 1454 and 44200, that added together give a palindrome (45654).

The spelling of 145444200 in words is "one hundred forty-five million, four hundred forty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 22037 44074 66111 88148 110185 132222 176296 220370 242407 264444 330555 440740 484814 528888 550925 661110 727221 881480 969628 1101850 1212035 1322220 1454442 1652775 1939256 2203700 2424070 2644440 2908884 3305550 3636105 4407400 4848140 5817768 6060175 6611100 7272210 9696280 12120350 13222200 14544420 18180525 24240700 29088840 36361050 48481400 72722100 145444200