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454454224 = 24725310937
BaseRepresentation
bin11011000101100…
…110101111010000
31011200010122222221
4123011212233100
51412320013344
6113032310424
714155540300
oct3305465720
91150118887
10454454224
11213589204
12108242414
13731c9233
14444db600
1529d6d184
hex1b166bd0

454454224 has 60 divisors (see below), whose sum is σ = 1043682084. Its totient is φ = 191073792.

The previous prime is 454454213. The next prime is 454454267. The reversal of 454454224 is 422454454.

It can be written as a sum of positive squares in 2 ways, for example, as 390773824 + 63680400 = 19768^2 + 7980^2 .

It is a super-2 number, since 2×4544542242 = 413057283422884352, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 454454224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36084 + ... + 47020.

Almost surely, 2454454224 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 454454224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521841042).

454454224 is an abundant number, since it is smaller than the sum of its proper divisors (589227860).

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

454454224 is a wasteful number, since it uses less digits than its factorization.

454454224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11012 (or 10999 counting only the distinct ones).

The product of its digits is 102400, while the sum is 34.

The square root of 454454224 is about 21317.9319822538. The cubic root of 454454224 is about 768.8295164053.

The spelling of 454454224 in words is "four hundred fifty-four million, four hundred fifty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 53 56 98 106 112 196 212 371 392 424 742 784 848 1484 2597 2968 5194 5936 10388 10937 20776 21874 41552 43748 76559 87496 153118 174992 306236 535913 579661 612472 1071826 1159322 1224944 2143652 2318644 4057627 4287304 4637288 8115254 8574608 9274576 16230508 28403389 32461016 56806778 64922032 113613556 227227112 454454224