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414225644 = 227711012063
BaseRepresentation
bin11000101100001…
…001010011101100
31001212102211202112
4120230021103230
51322020210034
6105034143152
713156600640
oct3054112354
91055384675
10414225644
111a2901948
12b6881ab8
1367a82641
143d028c20
15265737ce
hex18b094ec

414225644 has 48 divisors (see below), whose sum is σ = 848848896. Its totient is φ = 173208000.

The previous prime is 414225611. The next prime is 414225649. The reversal of 414225644 is 446522414.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 414225644.

It is not an unprimeable number, because it can be changed into a prime (414225649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199757 + ... + 201819.

It is an arithmetic number, because the mean of its divisors is an integer number (17684352).

Almost surely, 2414225644 is an apocalyptic number.

It is an amenable number.

414225644 is an abundant number, since it is smaller than the sum of its proper divisors (434623252).

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

414225644 is a wasteful number, since it uses less digits than its factorization.

414225644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246 (or 2244 counting only the distinct ones).

The product of its digits is 30720, while the sum is 32.

The square root of 414225644 is about 20352.5340928347. The cubic root of 414225644 is about 745.4393720723.

The spelling of 414225644 in words is "four hundred fourteen million, two hundred twenty-five thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 28 71 101 142 202 284 404 497 707 994 1414 1988 2063 2828 4126 7171 8252 14342 14441 28684 28882 50197 57764 100394 146473 200788 208363 292946 416726 585892 833452 1025311 1458541 2050622 2917082 4101244 5834164 14793773 29587546 59175092 103556411 207112822 414225644