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2200020424 = 237227720261
BaseRepresentation
bin1000001100100001…
…1010010111001000
312200022201121122221
42003020122113020
514001201123144
61002150023424
7105342602500
oct20310322710
95608647587
102200020424
11a299439a8
12514947b74
13290a3aa44
1416c284a00
15cd222d84
hex8321a5c8

2200020424 has 48 divisors (see below), whose sum is σ = 4816074780. Its totient is φ = 939415680.

The previous prime is 2200020409. The next prime is 2200020437. The reversal of 2200020424 is 4240200022.

It can be written as a sum of positive squares in 2 ways, for example, as 1663171524 + 536848900 = 40782^2 + 23170^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2200020398 and 2200020407.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98454 + ... + 118714.

Almost surely, 22200020424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200020424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408037390).

2200020424 is an abundant number, since it is smaller than the sum of its proper divisors (2616054356).

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

2200020424 is a wasteful number, since it uses less digits than its factorization.

2200020424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20558 (or 20547 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2200020424 is about 46904.3753183005. The cubic root of 2200020424 is about 1300.5954715783.

Adding to 2200020424 its reverse (4240200022), we get a palindrome (6440220446).

It can be divided in two parts, 22000 and 20424, that added together give a palindrome (42424).

The spelling of 2200020424 in words is "two billion, two hundred million, twenty thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 277 392 554 1108 1939 2216 3878 7756 13573 15512 20261 27146 40522 54292 81044 108584 141827 162088 283654 567308 992789 1134616 1985578 3971156 5612297 7942312 11224594 22449188 39286079 44898376 78572158 157144316 275002553 314288632 550005106 1100010212 2200020424