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224050020 = 223531163739
BaseRepresentation
bin11010101101010…
…11101101100100
3120121120220211220
431112223231210
5424324100040
634122100340
75360252025
oct1526535544
9517526756
10224050020
1110551a107
126304a6b0
1337557c9c
1421a82c4c
1514a0a2d0
hexd5abb64

224050020 has 96 divisors (see below), whose sum is σ = 652431360. Its totient is φ = 57386880.

The previous prime is 224050007. The next prime is 224050037. The reversal of 224050020 is 20050422.

It is a super-2 number, since 2×2240500202 = 100396822924000800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 302811 + ... + 303549.

It is an arithmetic number, because the mean of its divisors is an integer number (6796160).

Almost surely, 2224050020 is an apocalyptic number.

224050020 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 224050020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326215680).

224050020 is an abundant number, since it is smaller than the sum of its proper divisors (428381340).

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

224050020 is a wasteful number, since it uses less digits than its factorization.

224050020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 224050020 is about 14968.3005047333. The cubic root of 224050020 is about 607.3629964215.

The spelling of 224050020 in words is "two hundred twenty-four million, fifty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 163 186 310 326 372 465 489 620 652 739 815 930 978 1478 1630 1860 1956 2217 2445 2956 3260 3695 4434 4890 5053 7390 8868 9780 10106 11085 14780 15159 20212 22170 22909 25265 30318 44340 45818 50530 60636 68727 75795 91636 101060 114545 120457 137454 151590 229090 240914 274908 303180 343635 361371 458180 481828 602285 687270 722742 1204570 1374540 1445484 1806855 2409140 3613710 3734167 7227420 7468334 11202501 14936668 18670835 22405002 37341670 44810004 56012505 74683340 112025010 224050020