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224510420 = 22513185691
BaseRepresentation
bin11010110000111…
…00000111010100
3120122110022101202
431120130013110
5424433313140
634140012032
75364210221
oct1530340724
9518408352
10224510420
11105804002
1263231018
1337689704
1421b62948
1514a9b915
hexd61c1d4

224510420 has 24 divisors (see below), whose sum is σ = 475076448. Its totient is φ = 89117600.

The previous prime is 224510357. The next prime is 224510467. The reversal of 224510420 is 24015422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 224510392 and 224510401.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 40226 + ... + 45465.

It is an arithmetic number, because the mean of its divisors is an integer number (19794852).

Almost surely, 2224510420 is an apocalyptic number.

224510420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224510420 is an abundant number, since it is smaller than the sum of its proper divisors (250566028).

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

224510420 is a wasteful number, since it uses less digits than its factorization.

224510420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85831 (or 85829 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 224510420 is about 14983.6717796407. The cubic root of 224510420 is about 607.7787348429.

Adding to 224510420 its reverse (24015422), we get a palindrome (248525842).

The spelling of 224510420 in words is "two hundred twenty-four million, five hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 131 262 524 655 1310 2620 85691 171382 342764 428455 856910 1713820 11225521 22451042 44902084 56127605 112255210 224510420