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2410144420 = 225120507221
BaseRepresentation
bin1000111110100111…
…1110001010100100
320012222010000121011
42033221332022210
514413444110140
61035053432004
7113503614055
oct21751761244
96188100534
102410144420
1110275111a2
1257319b604
132c542b178
1418c14072c
15e18cbcea
hex8fa7e2a4

2410144420 has 12 divisors (see below), whose sum is σ = 5061303324. Its totient is φ = 964057760.

The previous prime is 2410144409. The next prime is 2410144427. The reversal of 2410144420 is 244410142.

It can be written as a sum of positive squares in 2 ways, for example, as 1657629796 + 752514624 = 40714^2 + 27432^2 .

It is a super-2 number, since 2×24101444202 = 11617592250514272800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2410144391 and 2410144400.

It is not an unprimeable number, because it can be changed into a prime (2410144427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 60253591 + ... + 60253630.

It is an arithmetic number, because the mean of its divisors is an integer number (421775277).

Almost surely, 22410144420 is an apocalyptic number.

2410144420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2410144420 is an abundant number, since it is smaller than the sum of its proper divisors (2651158904).

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

2410144420 is a wasteful number, since it uses less digits than its factorization.

2410144420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120507230 (or 120507228 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2410144420 is about 49093.2217317218. The cubic root of 2410144420 is about 1340.7496399531.

Adding to 2410144420 its reverse (244410142), we get a palindrome (2654554562).

The spelling of 2410144420 in words is "two billion, four hundred ten million, one hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 120507221 241014442 482028884 602536105 1205072210 2410144420