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2202252320 = 25573409461
BaseRepresentation
bin1000001101000011…
…1011010000100000
312200110221000020202
42003100323100200
514002234033240
61002305524332
7105400556462
oct20320732040
95613830222
102202252320
11a30128844
125156436a8
1329133c8a8
1416c6a6132
15cd514315
hex8343b420

2202252320 has 96 divisors (see below), whose sum is σ = 5298456240. Its totient is φ = 864829440.

The previous prime is 2202252319. The next prime is 2202252359. The reversal of 2202252320 is 232522022.

It can be written as a sum of positive squares in 8 ways, for example, as 1352179984 + 850072336 = 36772^2 + 29156^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2202252292 and 2202252301.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4776890 + ... + 4777350.

Almost surely, 22202252320 is an apocalyptic number.

2202252320 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 2202252320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649228120).

2202252320 is an abundant number, since it is smaller than the sum of its proper divisors (3096203920).

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

2202252320 is a wasteful number, since it uses less digits than its factorization.

2202252320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2202252320 is about 46928.1612680488. The cubic root of 2202252320 is about 1301.0351360975.

Adding to 2202252320 its reverse (232522022), we get a palindrome (2434774342).

The spelling of 2202252320 in words is "two billion, two hundred two million, two hundred fifty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 409 461 584 730 818 922 1168 1460 1636 1844 2045 2305 2336 2920 3272 3688 4090 4610 5840 6544 7376 8180 9220 11680 13088 14752 16360 18440 29857 32720 33653 36880 59714 65440 67306 73760 119428 134612 149285 168265 188549 238856 269224 298570 336530 377098 477712 538448 597140 673060 754196 942745 955424 1076896 1194280 1346120 1508392 1885490 2388560 2692240 3016784 3770980 4777120 5384480 6033568 7541960 13764077 15083920 27528154 30167840 55056308 68820385 110112616 137640770 220225232 275281540 440450464 550563080 1101126160 2202252320