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2022200224 = 25116179311
BaseRepresentation
bin111100010001000…
…0101001110100000
312012221010102012121
41320202011032200
513120140401344
6532354434024
7101053263322
oct17042051640
95187112177
102022200224
1194852aa60
12485292914
13262c4b0a5
141527d7612
15bc7ea684
hex788853a0

2022200224 has 48 divisors (see below), whose sum is σ = 4350640896. Its totient is φ = 917593600.

The previous prime is 2022200221. The next prime is 2022200249. The reversal of 2022200224 is 4220022202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2022200198 and 2022200207.

It is not an unprimeable number, because it can be changed into a prime (2022200221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212529 + ... + 221839.

It is an arithmetic number, because the mean of its divisors is an integer number (90638352).

Almost surely, 22022200224 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 2022200224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2175320448).

2022200224 is an abundant number, since it is smaller than the sum of its proper divisors (2328440672).

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

2022200224 is a wasteful number, since it uses less digits than its factorization.

2022200224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9949 (or 9941 counting only the distinct ones).

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

The square root of 2022200224 is about 44968.8806176004. The cubic root of 2022200224 is about 1264.5656617364.

Adding to 2022200224 its reverse (4220022202), we get a palindrome (6242222426).

The spelling of 2022200224 in words is "two billion, twenty-two million, two hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 617 1234 2468 4936 6787 9311 9872 13574 18622 19744 27148 37244 54296 74488 102421 108592 148976 204842 217184 297952 409684 819368 1638736 3277472 5744887 11489774 22979548 45959096 63193757 91918192 126387514 183836384 252775028 505550056 1011100112 2022200224