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224042420 = 22574779431
BaseRepresentation
bin11010101101010…
…01110110110100
3120121120112102102
431112221312310
5424323324140
634122001232
75360220620
oct1526516664
9517515372
10224042420
11105514428
1263046218
13375546a4
1421a80180
1514a07e15
hexd5a9db4

224042420 has 96 divisors (see below), whose sum is σ = 557383680. Its totient is φ = 74056320.

The previous prime is 224042389. The next prime is 224042431. The reversal of 224042420 is 24240422.

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 = 224042392 and 224042401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 519605 + ... + 520035.

It is an arithmetic number, because the mean of its divisors is an integer number (5806080).

Almost surely, 2224042420 is an apocalyptic number.

224042420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224042420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278691840).

224042420 is an abundant number, since it is smaller than the sum of its proper divisors (333341260).

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

224042420 is a wasteful number, since it uses less digits than its factorization.

224042420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 224042420 is about 14968.0466327440. The cubic root of 224042420 is about 607.3561288911.

Adding to 224042420 its reverse (24240422), we get a palindrome (248282842).

The spelling of 224042420 in words is "two hundred twenty-four million, forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 79 94 140 158 188 235 316 329 395 431 470 553 658 790 862 940 1106 1316 1580 1645 1724 2155 2212 2765 3017 3290 3713 4310 5530 6034 6580 7426 8620 11060 12068 14852 15085 18565 20257 25991 30170 34049 37130 40514 51982 60340 68098 74260 81028 101285 103964 129955 136196 141799 170245 202570 238343 259910 283598 340490 405140 476686 519820 567196 680980 708995 953372 1191715 1417990 1600303 2383430 2835980 3200606 4766860 6401212 8001515 11202121 16003030 22404242 32006060 44808484 56010605 112021210 224042420