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144013220 = 22513553897
BaseRepresentation
bin10001001010101…
…11011110100100
3101000222121222222
420211113132210
5243331410340
622142411512
73366043421
oct1045273644
9330877888
10144013220
117432329a
1240290b98
1323ab3c30
14151aad48
15c99a8b5
hex89577a4

144013220 has 24 divisors (see below), whose sum is σ = 325692024. Its totient is φ = 53174016.

The previous prime is 144013187. The next prime is 144013229. The reversal of 144013220 is 22310441.

144013220 is digitally balanced in base 2, 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 4 ways, for example, as 32330596 + 111682624 = 5686^2 + 10568^2 .

It is not an unprimeable number, because it can be changed into a prime (144013229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276689 + ... + 277208.

It is an arithmetic number, because the mean of its divisors is an integer number (13570501).

Almost surely, 2144013220 is an apocalyptic number.

144013220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144013220 is an abundant number, since it is smaller than the sum of its proper divisors (181678804).

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

144013220 is a wasteful number, since it uses less digits than its factorization.

144013220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553919 (or 553917 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 144013220 is about 12000.5508206915. The cubic root of 144013220 is about 524.1643182589.

Adding to 144013220 its reverse (22310441), we get a palindrome (166323661).

The spelling of 144013220 in words is "one hundred forty-four million, thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 553897 1107794 2215588 2769485 5538970 7200661 11077940 14401322 28802644 36003305 72006610 144013220