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2144893969 = 29215972
BaseRepresentation
bin111111111011000…
…0111110000010001
312112110222220101101
41333312013300101
513343043101334
6552500304401
7104103204121
oct17766076021
95473886341
102144893969
11a00811649
124ba3a2101
132824a913a
14164c14c81
15c8484214
hex7fd87c11

2144893969 has 9 divisors (see below), whose sum is σ = 2222798097. Its totient is φ = 2069635344.

The previous prime is 2144893951. The next prime is 2144893979. The reversal of 2144893969 is 9693984412.

The square root of 2144893969 is 46313.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 183467025 + 1961426944 = 13545^2 + 44288^2 .

It is not a de Polignac number, because 2144893969 - 213 = 2144885777 is a prime.

It is a super-2 number, since 2×21448939692 = 9201140276505145922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2144893909) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1342279 + ... + 1343875.

Almost surely, 22144893969 is an apocalyptic number.

2144893969 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

2144893969 is the 46313-rd square number.

2144893969 is the 23157-th centered octagonal number.

It is an amenable number.

2144893969 is a deficient number, since it is larger than the sum of its proper divisors (77904128).

2144893969 is an frugal number, since it uses more digits than its factorization.

2144893969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3252 (or 1626 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 55.

The cubic root of 2144893969 is about 1289.6403398115.

The spelling of 2144893969 in words is "two billion, one hundred forty-four million, eight hundred ninety-three thousand, nine hundred sixty-nine".

Divisors: 1 29 841 1597 46313 1343077 2550409 73961861 2144893969