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2242351540 = 2251113784039
BaseRepresentation
bin1000010110100111…
…1001000110110100
312210021101021001001
42011221321012310
514043020222130
61010301213044
7106365450022
oct20551710664
95707337031
102242351540
11a508269a0
12526b61184
1329973c640
14173b43712
15d1cd56ca
hex85a791b4

2242351540 has 48 divisors (see below), whose sum is σ = 5532186240. Its totient is φ = 752676480.

The previous prime is 2242351523. The next prime is 2242351549. The reversal of 2242351540 is 451532422.

It is a junction number, because it is equal to n+sod(n) for n = 2242351499 and 2242351508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242351549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 389160 + ... + 394879.

It is an arithmetic number, because the mean of its divisors is an integer number (115253880).

Almost surely, 22242351540 is an apocalyptic number.

2242351540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242351540 is an abundant number, since it is smaller than the sum of its proper divisors (3289834700).

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

2242351540 is a wasteful number, since it uses less digits than its factorization.

2242351540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784072 (or 784070 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 2242351540 is about 47353.4744237421. The cubic root of 2242351540 is about 1308.8842236678.

Adding to 2242351540 its reverse (451532422), we get a palindrome (2693883962).

The spelling of 2242351540 in words is "two billion, two hundred forty-two million, three hundred fifty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 784039 1568078 3136156 3920195 7840390 8624429 10192507 15680780 17248858 20385014 34497716 40770028 43122145 50962535 86244290 101925070 112117577 172488580 203850140 224235154 448470308 560587885 1121175770 2242351540