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405223230752 = 2543226172
BaseRepresentation
bin1011110010110010010…
…11111100110100100000
31102201221200222222120122
411321121023330310200
523114344121341002
6510053524055412
741163544426004
oct5713113746440
91381850888518
10405223230752
11146943a49a2a
1266650534568
132c29b7c9022
1415881b72704
15a81a2476a2
hex5e592fcd20

405223230752 has 54 divisors (see below), whose sum is σ = 817080021513. Its totient is φ = 197824096512.

The previous prime is 405223230743. The next prime is 405223230757. The reversal of 405223230752 is 257032322504.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 265014921616 + 140208309136 = 514796^2 + 374444^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=450124.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (405223230757) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 154841348 + ... + 154843964.

Almost surely, 2405223230752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405223230752

405223230752 is an abundant number, since it is smaller than the sum of its proper divisors (411856790761).

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

405223230752 is an frugal number, since it uses more digits than its factorization.

405223230752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5330 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 35.

The spelling of 405223230752 in words is "four hundred five billion, two hundred twenty-three million, two hundred thirty thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 32 43 86 172 344 688 1376 1849 2617 3698 5234 7396 10468 14792 20936 29584 41872 59168 83744 112531 225062 450124 900248 1800496 3600992 4838833 6848689 9677666 13697378 19355332 27394756 38710664 54789512 77421328 109579024 154842656 219158048 294493627 588987254 1177974508 2355949016 4711898032 9423796064 12663225961 25326451922 50652903844 101305807688 202611615376 405223230752