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2400141220 = 225566921169
BaseRepresentation
bin1000111100001111…
…0011111110100100
320012021021210210021
42033003303332210
514403414004340
61034055204524
7113322602161
oct21703637644
96167253707
102400141220
1110218a9694
1256b976744
132c3338009
1418aa99068
15e0aa2e4a
hex8f0f3fa4

2400141220 has 24 divisors (see below), whose sum is σ = 5041423800. Its totient is φ = 959841792.

The previous prime is 2400141173. The next prime is 2400141221. The reversal of 2400141220 is 221410042.

It can be written as a sum of positive squares in 4 ways, for example, as 542703616 + 1857437604 = 23296^2 + 43098^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2400141194 and 2400141203.

It is not an unprimeable number, because it can be changed into a prime (2400141221) 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, 102796 + ... + 123964.

It is an arithmetic number, because the mean of its divisors is an integer number (210059325).

Almost surely, 22400141220 is an apocalyptic number.

2400141220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400141220 is an abundant number, since it is smaller than the sum of its proper divisors (2641282580).

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

2400141220 is a wasteful number, since it uses less digits than its factorization.

2400141220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26847 (or 26845 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2400141220 is about 48991.2361550512. The cubic root of 2400141220 is about 1338.8921600163.

Adding to 2400141220 its reverse (221410042), we get a palindrome (2621551262).

The spelling of 2400141220 in words is "two billion, four hundred million, one hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 5669 11338 21169 22676 28345 42338 56690 84676 105845 113380 211690 423380 120007061 240014122 480028244 600035305 1200070610 2400141220