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421820224 = 2672314339
BaseRepresentation
bin11001001001000…
…111011101000000
31002101201200120021
4121021013131000
51330441221344
6105505023224
713311261400
oct3111073500
91071650507
10421820224
111a7119861
12b9324b14
1369511387
1440044800
1527073b84
hex19247740

421820224 has 84 divisors (see below), whose sum is σ = 1005352320. Its totient is φ = 174908160.

The previous prime is 421820219. The next prime is 421820227. The reversal of 421820224 is 422028124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421820227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95047 + ... + 99385.

It is an arithmetic number, because the mean of its divisors is an integer number (11968480).

Almost surely, 2421820224 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 421820224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502676160).

421820224 is an abundant number, since it is smaller than the sum of its proper divisors (583532096).

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

421820224 is a wasteful number, since it uses less digits than its factorization.

421820224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4396 (or 4379 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The square root of 421820224 is about 20538.2624386777. The cubic root of 421820224 is about 749.9675387432.

Adding to 421820224 its reverse (422028124), we get a palindrome (843848348).

It can be divided in two parts, 4218 and 20224, that added together give a palindrome (24442).

The spelling of 421820224 in words is "four hundred twenty-one million, eight hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 64 98 112 124 196 217 224 248 392 434 448 496 784 868 992 1519 1568 1736 1984 3038 3136 3472 4339 6076 6944 8678 12152 13888 17356 24304 30373 34712 48608 60746 69424 97216 121492 134509 138848 212611 242984 269018 277696 425222 485968 538036 850444 941563 971936 1076072 1700888 1883126 1943872 2152144 3401776 3766252 4304288 6590941 6803552 7532504 8608576 13181882 13607104 15065008 26363764 30130016 52727528 60260032 105455056 210910112 421820224