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2220423400 = 2352132179367
BaseRepresentation
bin1000010001011000…
…1111100011101000
312201202010012021201
42010112033203220
514021412022100
61004155213544
7106011200416
oct20426174350
95652105251
102220423400
11a3a409a68
1251b7472b4
13295032700
14170c762b6
15cee0336a
hex8458f8e8

2220423400 has 144 divisors (see below), whose sum is σ = 5636692800. Its totient is φ = 813047040.

The previous prime is 2220423343. The next prime is 2220423419. The reversal of 2220423400 is 43240222.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6050017 + ... + 6050383.

It is an arithmetic number, because the mean of its divisors is an integer number (39143700).

Almost surely, 22220423400 is an apocalyptic number.

2220423400 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 2220423400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818346400).

2220423400 is an abundant number, since it is smaller than the sum of its proper divisors (3416269400).

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

2220423400 is a wasteful number, since it uses less digits than its factorization.

2220423400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 2220423400 is about 47121.3688256188. The cubic root of 2220423400 is about 1304.6036777945.

Adding to 2220423400 its reverse (43240222), we get a palindrome (2263663622).

The spelling of 2220423400 in words is "two billion, two hundred twenty million, four hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 169 179 200 260 325 338 358 367 520 650 676 716 734 845 895 1300 1352 1432 1468 1690 1790 1835 2327 2600 2936 3380 3580 3670 4225 4475 4654 4771 6760 7160 7340 8450 8950 9175 9308 9542 11635 14680 16900 17900 18350 18616 19084 23270 23855 30251 33800 35800 36700 38168 46540 47710 58175 60502 62023 65693 73400 93080 95420 116350 119275 121004 124046 131386 151255 190840 232700 238550 242008 248092 262772 302510 310115 328465 465400 477100 496184 525544 605020 620230 656930 756275 854009 954200 1210040 1240460 1313860 1512550 1550575 1642325 1708018 2480920 2627720 3025100 3101150 3284650 3416036 4270045 6050200 6202300 6569300 6832072 8540090 11102117 12404600 13138600 17080180 21350225 22204234 34160360 42700450 44408468 55510585 85400900 88816936 111021170 170801800 222042340 277552925 444084680 555105850 1110211700 2220423400