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2200220224 = 26612112671
BaseRepresentation
bin1000001100100100…
…1011001001000000
312200100002202201221
42003021023021000
514001224021344
61002154204424
7105344364136
oct20311131100
95610082657
102200220224
11a29a70024
12514a23714
13290aaa977
1416c2d7756
15cd262184
hex8324b240

2200220224 has 56 divisors (see below), whose sum is σ = 4460337536. Its totient is φ = 1076544000.

The previous prime is 2200220213. The next prime is 2200220233. The reversal of 2200220224 is 4220220022.

It is a super-2 number, since 2×22002202242 = 9681938068197220352, which contains 22 as substring.

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 = 2200220198 and 2200220207.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 822409 + ... + 825079.

Almost surely, 22200220224 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 2200220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230168768).

2200220224 is an abundant number, since it is smaller than the sum of its proper divisors (2260117312).

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

2200220224 is a wasteful number, since it uses less digits than its factorization.

2200220224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2955 (or 2945 counting only the distinct ones).

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

The square root of 2200220224 is about 46906.5051352155. The cubic root of 2200220224 is about 1300.6348425929.

Adding to 2200220224 its reverse (4220220022), we get a palindrome (6420440246).

The spelling of 2200220224 in words is "two billion, two hundred million, two hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 61 64 122 211 244 422 488 844 976 1688 1952 2671 3376 3904 5342 6752 10684 12871 13504 21368 25742 42736 51484 85472 102968 162931 170944 205936 325862 411872 563581 651724 823744 1127162 1303448 2254324 2606896 4508648 5213792 9017296 10427584 18034592 34378441 36069184 68756882 137513764 275027528 550055056 1100110112 2200220224