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2203214020 = 2257313731361
BaseRepresentation
bin1000001101010010…
…0110000011000100
312200112201212110021
42003110212003010
514003010322040
61002342304524
7105412003330
oct20324460304
95615655407
102203214020
11a30725337
12515a28144
132915b8547
1416c8767c0
15cd65424a
hex835260c4

2203214020 has 96 divisors (see below), whose sum is σ = 5476939776. Its totient is φ = 728524800.

The previous prime is 2203214003. The next prime is 2203214021. The reversal of 2203214020 is 204123022.

It is a junction number, because it is equal to n+sod(n) for n = 2203213985 and 2203214003.

It is not an unprimeable number, because it can be changed into a prime (2203214021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1618140 + ... + 1619500.

It is an arithmetic number, because the mean of its divisors is an integer number (57051456).

Almost surely, 22203214020 is an apocalyptic number.

2203214020 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 2203214020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2738469888).

2203214020 is an abundant number, since it is smaller than the sum of its proper divisors (3273725756).

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

2203214020 is a wasteful number, since it uses less digits than its factorization.

2203214020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2203214020 is about 46938.4066623485. The cubic root of 2203214020 is about 1301.2244912400.

Adding to 2203214020 its reverse (204123022), we get a palindrome (2407337042).

The spelling of 2203214020 in words is "two billion, two hundred three million, two hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 373 434 620 746 868 1085 1361 1492 1865 2170 2611 2722 3730 4340 5222 5444 6805 7460 9527 10444 11563 13055 13610 19054 23126 26110 27220 38108 42191 46252 47635 52220 57815 80941 84382 95270 115630 161882 168764 190540 210955 231260 295337 323764 404705 421910 507653 590674 809410 843820 1015306 1181348 1476685 1618820 2030612 2538265 2953370 3553571 5076530 5906740 7107142 10153060 14214284 15737243 17767855 31474486 35535710 62948972 71071420 78686215 110160701 157372430 220321402 314744860 440642804 550803505 1101607010 2203214020