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459223540 = 2251910911087
BaseRepresentation
bin11011010111110…
…011000111110100
31012000002222021021
4123113303013310
51420030123130
6113322430524
714244223066
oct3327630764
91160088237
10459223540
11216246496
12109962444
13741a9009
1444dbd736
152a4b137a
hex1b5f31f4

459223540 has 48 divisors (see below), whose sum is σ = 1024531200. Its totient is φ = 172409472.

The previous prime is 459223529. The next prime is 459223573. The reversal of 459223540 is 45322954.

It is a junction number, because it is equal to n+sod(n) for n = 459223496 and 459223505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35877 + ... + 46963.

It is an arithmetic number, because the mean of its divisors is an integer number (21344400).

Almost surely, 2459223540 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 459223540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512265600).

459223540 is an abundant number, since it is smaller than the sum of its proper divisors (565307660).

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

459223540 is a wasteful number, since it uses less digits than its factorization.

459223540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11224 (or 11222 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 459223540 is about 21429.5016274294. The cubic root of 459223540 is about 771.5096822089.

The spelling of 459223540 in words is "four hundred fifty-nine million, two hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 109 190 218 380 436 545 1090 2071 2180 4142 8284 10355 11087 20710 22174 41420 44348 55435 110870 210653 221740 421306 842612 1053265 1208483 2106530 2416966 4213060 4833932 6042415 12084830 22961177 24169660 45922354 91844708 114805885 229611770 459223540