Search a number
-
+
454300224 = 26371572153
BaseRepresentation
bin11011000101000…
…001001001000000
31011122211211202020
4123011001021000
51412300101344
6113025121440
714154326310
oct3305011100
91148754666
10454300224
11213493534
12108189280
1373174101
144449b440
1529d3c719
hex1b141240

454300224 has 112 divisors (see below), whose sum is σ = 1383109248. Its totient is φ = 128913408.

The previous prime is 454300207. The next prime is 454300229. The reversal of 454300224 is 422003454.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 454300194 and 454300203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454300229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209932 + ... + 212084.

Almost surely, 2454300224 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 454300224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691554624).

454300224 is an abundant number, since it is smaller than the sum of its proper divisors (928809024).

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

454300224 is a wasteful number, since it uses less digits than its factorization.

454300224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 454300224 is about 21314.3196935769. The cubic root of 454300224 is about 768.7426626836.

Adding to 454300224 its reverse (422003454), we get a palindrome (876303678).

The spelling of 454300224 in words is "four hundred fifty-four million, three hundred thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 157 168 192 224 314 336 448 471 628 672 942 1099 1256 1344 1884 2153 2198 2512 3297 3768 4306 4396 5024 6459 6594 7536 8612 8792 10048 12918 13188 15071 15072 17224 17584 25836 26376 30142 30144 34448 35168 45213 51672 52752 60284 68896 70336 90426 103344 105504 120568 137792 180852 206688 211008 241136 338021 361704 413376 482272 676042 723408 964544 1014063 1352084 1446816 2028126 2366147 2704168 2893632 4056252 4732294 5408336 7098441 8112504 9464588 10816672 14196882 16225008 18929176 21633344 28393764 32450016 37858352 56787528 64900032 75716704 113575056 151433408 227150112 454300224