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224552020 = 225711433391
BaseRepresentation
bin11010110001001…
…10010001010100
3120122112102110111
431120212101110
5424441131040
634140532404
75364442420
oct1530462124
9518472414
10224552020
11105832290
1263251104
13376a2624
1421b73b80
1514aa8dea
hexd626454

224552020 has 96 divisors (see below), whose sum is σ = 601767936. Its totient is φ = 68342400.

The previous prime is 224552011. The next prime is 224552021. The reversal of 224552020 is 20255422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 224551982 and 224552000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224552021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64525 + ... + 67915.

It is an arithmetic number, because the mean of its divisors is an integer number (6268416).

Almost surely, 2224552020 is an apocalyptic number.

224552020 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 224552020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300883968).

224552020 is an abundant number, since it is smaller than the sum of its proper divisors (377215916).

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

224552020 is a wasteful number, since it uses less digits than its factorization.

224552020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3461 (or 3459 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 224552020 is about 14985.0598931069. The cubic root of 224552020 is about 607.8162713842.

The spelling of 224552020 in words is "two hundred twenty-four million, five hundred fifty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 43 44 55 70 77 86 110 140 154 172 215 220 301 308 385 430 473 602 770 860 946 1204 1505 1540 1892 2365 3010 3311 3391 4730 6020 6622 6782 9460 13244 13564 16555 16955 23737 33110 33910 37301 47474 66220 67820 74602 94948 118685 145813 149204 186505 237370 261107 291626 373010 474740 522214 583252 729065 746020 1020691 1044428 1305535 1458130 1603943 2041382 2611070 2916260 3207886 4082764 5103455 5222140 6415772 8019715 10206910 11227601 16039430 20413820 22455202 32078860 44910404 56138005 112276010 224552020