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440148224 = 2817195323
BaseRepresentation
bin11010001111000…
…010000100000000
31010200012211212002
4122033002010000
51400134220344
6111401523132
713623124655
oct3217020400
91120184762
10440148224
112064a796a
121034a34a8
137025a749
1442655c2c
152899444e
hex1a3c2100

440148224 has 72 divisors (see below), whose sum is σ = 979403040. Its totient is φ = 196190208.

The previous prime is 440148211. The next prime is 440148227. The reversal of 440148224 is 422841044.

It is not an unprimeable number, because it can be changed into a prime (440148227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80027 + ... + 85349.

It is an arithmetic number, because the mean of its divisors is an integer number (13602820).

Almost surely, 2440148224 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 440148224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489701520).

440148224 is an abundant number, since it is smaller than the sum of its proper divisors (539254816).

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

440148224 is a wasteful number, since it uses less digits than its factorization.

440148224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5375 (or 5361 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 29.

The square root of 440148224 is about 20979.7098168683. The cubic root of 440148224 is about 760.6758899614.

Adding to 440148224 its reverse (422841044), we get a palindrome (862989268).

It can be divided in two parts, 4401 and 48224, that added together give a palindrome (52625).

The spelling of 440148224 in words is "four hundred forty million, one hundred forty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 128 136 152 256 272 304 323 544 608 646 1088 1216 1292 2176 2432 2584 4352 4864 5168 5323 10336 10646 20672 21292 41344 42584 82688 85168 90491 101137 170336 180982 202274 340672 361964 404548 681344 723928 809096 1362688 1447856 1618192 1719329 2895712 3236384 3438658 5791424 6472768 6877316 11582848 12945536 13754632 23165696 25891072 27509264 55018528 110037056 220074112 440148224