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2240024420 = 225927712073
BaseRepresentation
bin1000010110000100…
…0000111101100100
312210010000000211102
42011201000331210
514041421240140
61010135255232
7106336615304
oct20541007544
95703000742
102240024420
11a4a487557
1252621a518
1329910634a
141736d9604
15d19c5e15
hex85840f64

2240024420 has 24 divisors (see below), whose sum is σ = 4704948024. Its totient is φ = 895838976.

The previous prime is 2240024411. The next prime is 2240024453. The reversal of 2240024420 is 244200422.

It can be written as a sum of positive squares in 4 ways, for example, as 66227044 + 2173797376 = 8138^2 + 46624^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

2240024420 is a modest number, since divided by 24420 gives 2240 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 2240024392 and 2240024401.

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, 179504 + ... + 191576.

It is an arithmetic number, because the mean of its divisors is an integer number (196039501).

Almost surely, 22240024420 is an apocalyptic number.

2240024420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240024420 is an abundant number, since it is smaller than the sum of its proper divisors (2464923604).

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

2240024420 is a wasteful number, since it uses less digits than its factorization.

2240024420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21359 (or 21357 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 2240024420 is about 47328.8962474301. The cubic root of 2240024420 is about 1308.4312787867.

Adding to 2240024420 its reverse (244200422), we get a palindrome (2484224842).

The spelling of 2240024420 in words is "two billion, two hundred forty million, twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 9277 12073 18554 24146 37108 46385 48292 60365 92770 120730 185540 241460 112001221 224002442 448004884 560006105 1120012210 2240024420