Search a number
-
+
454225800 = 233527831303
BaseRepresentation
bin11011000100101…
…110111110001000
31011122201001122210
4123010232332020
51412240211200
6113023345120
714153566320
oct3304567610
91148631583
10454225800
11213442626
121081521a0
1373149282
144447c280
1529d25650
hex1b12ef88

454225800 has 192 divisors, whose sum is σ = 1629895680. Its totient is φ = 102493440.

The previous prime is 454225789. The next prime is 454225817. The reversal of 454225800 is 8522454.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 347949 + ... + 349251.

It is an arithmetic number, because the mean of its divisors is an integer number (8489040).

Almost surely, 2454225800 is an apocalyptic number.

454225800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454225800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814947840).

454225800 is an abundant number, since it is smaller than the sum of its proper divisors (1175669880).

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

454225800 is a wasteful number, since it uses less digits than its factorization.

454225800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 454225800 is about 21312.5737535381. The cubic root of 454225800 is about 768.7006816137.

The spelling of 454225800 in words is "four hundred fifty-four million, two hundred twenty-five thousand, eight hundred".