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2240404440 = 233518670037
BaseRepresentation
bin1000010110001001…
…1101101111011000
312210010201100010020
42011202131233120
514042020420230
61010151350440
7106343060241
oct20542355730
95703640106
102240404440
11a4a71701a
12526382420
1329920a301
14173797cc8
15d1a4d810
hex8589dbd8

2240404440 has 32 divisors (see below), whose sum is σ = 6721213680. Its totient is φ = 597441152.

The previous prime is 2240404423. The next prime is 2240404457. The reversal of 2240404440 is 444040422.

2240404440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2240404423) and next prime (2240404457).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2240404440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9334899 + ... + 9335138.

Almost surely, 22240404440 is an apocalyptic number.

2240404440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240404440 is an abundant number, since it is smaller than the sum of its proper divisors (4480809240).

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

2240404440 is a wasteful number, since it uses less digits than its factorization.

2240404440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18670051 (or 18670047 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 2240404440 is about 47332.9107492873. The cubic root of 2240404440 is about 1308.5052663639.

Adding to 2240404440 its reverse (444040422), we get a palindrome (2684444862).

The spelling of 2240404440 in words is "two billion, two hundred forty million, four hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 18670037 37340074 56010111 74680148 93350185 112020222 149360296 186700370 224040444 280050555 373400740 448080888 560101110 746801480 1120202220 2240404440