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2240321420 = 225317449787
BaseRepresentation
bin1000010110001000…
…1001011110001100
312210010120010020102
42011202021132030
514042010241140
61010145510232
7106342263221
oct20542113614
95703503212
102240321420
11a4a66a707
12526342378
132991ab59c
14173775948
15d1a33e15
hex8588978c

2240321420 has 48 divisors (see below), whose sum is σ = 4736037600. Its totient is φ = 890179584.

The previous prime is 2240321401. The next prime is 2240321453. The reversal of 2240321420 is 241230422.

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

It is a junction number, because it is equal to n+sod(n) for n = 2240321392 and 2240321401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2846267 + ... + 2847053.

It is an arithmetic number, because the mean of its divisors is an integer number (98667450).

Almost surely, 22240321420 is an apocalyptic number.

2240321420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240321420 is an abundant number, since it is smaller than the sum of its proper divisors (2495716180).

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

2240321420 is a wasteful number, since it uses less digits than its factorization.

2240321420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2240321420 is about 47332.0337615024. The cubic root of 2240321420 is about 1308.4891035903.

Adding to 2240321420 its reverse (241230422), we get a palindrome (2481551842).

The spelling of 2240321420 in words is "two billion, two hundred forty million, three hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 317 449 634 787 898 1268 1574 1585 1796 2245 3148 3170 3935 4490 6340 7870 8980 15740 142333 249479 284666 353363 498958 569332 706726 711665 997916 1247395 1413452 1423330 1766815 2494790 2846660 3533630 4989580 7067260 112016071 224032142 448064284 560080355 1120160710 2240321420