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2240406456 = 233313011299
BaseRepresentation
bin1000010110001001…
…1110001110111000
312210010201102212220
42011202132032320
514042021001311
61010151404040
7106343066151
oct20542361670
95703642786
102240406456
11a4a718592
12526383620
1329920b1c2
14173798928
15d1a4e206
hex8589e3b8

2240406456 has 32 divisors (see below), whose sum is σ = 5781696000. Its totient is φ = 722711520.

The previous prime is 2240406449. The next prime is 2240406463. The reversal of 2240406456 is 6546040422.

It is an interprime number because it is at equal distance from previous prime (2240406449) and next prime (2240406463).

It is a super-3 number, since 3×22404064563 (a number of 29 digits) contains 333 as substring.

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, 1504906 + ... + 1506393.

It is an arithmetic number, because the mean of its divisors is an integer number (180678000).

Almost surely, 22240406456 is an apocalyptic number.

It is an amenable number.

2240406456 is an abundant number, since it is smaller than the sum of its proper divisors (3541289544).

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

2240406456 is a wasteful number, since it uses less digits than its factorization.

2240406456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011339 (or 3011335 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 2240406456 is about 47332.9320452473. The cubic root of 2240406456 is about 1308.5056588444.

Adding to 2240406456 its reverse (6546040422), we get a palindrome (8786446878).

The spelling of 2240406456 in words is "two billion, two hundred forty million, four hundred six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 3011299 6022598 9033897 12045196 18067794 24090392 36135588 72271176 93350269 186700538 280050807 373401076 560101614 746802152 1120203228 2240406456