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2220143440 = 24541743911
BaseRepresentation
bin1000010001010100…
…1011001101010000
312201201120222020211
42010111023031100
514021324042230
61004145213504
7106005623254
oct20425131520
95651528224
102220143440
11a3a238699
1251b631294
13294c65158
14170c02264
15ced9a42a
hex8454b350

2220143440 has 80 divisors (see below), whose sum is σ = 5300660736. Its totient is φ = 864281600.

The previous prime is 2220143413. The next prime is 2220143467. The reversal of 2220143440 is 443410222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2220143413) and next prime (2220143467).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2436585 + ... + 2437495.

Almost surely, 22220143440 is an apocalyptic number.

2220143440 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 2220143440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650330368).

2220143440 is an abundant number, since it is smaller than the sum of its proper divisors (3080517296).

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

2220143440 is a wasteful number, since it uses less digits than its factorization.

2220143440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2220143440 is about 47118.3981051988. The cubic root of 2220143440 is about 1304.5488455800.

Adding to 2220143440 its reverse (443410222), we get a palindrome (2663553662).

The spelling of 2220143440 in words is "two billion, two hundred twenty million, one hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 743 820 911 1486 1640 1822 2972 3280 3644 3715 4555 5944 7288 7430 9110 11888 14576 14860 18220 29720 30463 36440 37351 59440 60926 72880 74702 121852 149404 152315 186755 243704 298808 304630 373510 487408 597616 609260 676873 747020 1218520 1353746 1494040 2437040 2707492 2988080 3384365 5414984 6768730 10829968 13537460 27074920 27751793 54149840 55503586 111007172 138758965 222014344 277517930 444028688 555035860 1110071720 2220143440