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144577220 = 2257228861
BaseRepresentation
bin10001001111000…
…01001011000100
3101002001021122212
420213201023010
5244002432340
622202442552
73403612634
oct1047411304
9332037585
10144577220
1174679007
1240503458
1323c50868
14152b66c4
15ca5ca65
hex89e12c4

144577220 has 12 divisors (see below), whose sum is σ = 303612204. Its totient is φ = 57830880.

The previous prime is 144577219. The next prime is 144577247. The reversal of 144577220 is 22775441.

144577220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 74787904 + 69789316 = 8648^2 + 8354^2 .

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 3 ways as a sum of consecutive naturals, for example, 3614411 + ... + 3614450.

It is an arithmetic number, because the mean of its divisors is an integer number (25301017).

Almost surely, 2144577220 is an apocalyptic number.

144577220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144577220 is an abundant number, since it is smaller than the sum of its proper divisors (159034984).

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

144577220 is a wasteful number, since it uses less digits than its factorization.

144577220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7228870 (or 7228868 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 32.

The square root of 144577220 is about 12024.0267797440. The cubic root of 144577220 is about 524.8476897548.

The spelling of 144577220 in words is "one hundred forty-four million, five hundred seventy-seven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 7228861 14457722 28915444 36144305 72288610 144577220