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2221402040 = 2351113834679
BaseRepresentation
bin1000010001100111…
…1110011110111000
312201210221220201122
42010121332132320
514022134331130
61004232204412
7106022414534
oct20431763670
95653856648
102221402040
11a3aa18260
1251bb39708
132952b5ca0
1417104cbc4
15d00482e5
hex8467e7b8

2221402040 has 128 divisors (see below), whose sum is σ = 5943974400. Its totient is φ = 736504320.

The previous prime is 2221402039. The next prime is 2221402049. The reversal of 2221402040 is 402041222.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221402049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 472421 + ... + 477099.

It is an arithmetic number, because the mean of its divisors is an integer number (46437300).

Almost surely, 22221402040 is an apocalyptic number.

2221402040 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 2221402040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971987200).

2221402040 is an abundant number, since it is smaller than the sum of its proper divisors (3722572360).

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

2221402040 is a wasteful number, since it uses less digits than its factorization.

2221402040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4797 (or 4793 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 2221402040 is about 47131.7519300949. The cubic root of 2221402040 is about 1304.7953153920.

Adding to 2221402040 its reverse (402041222), we get a palindrome (2623443262).

The spelling of 2221402040 in words is "two billion, two hundred twenty-one million, four hundred two thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 83 88 104 110 130 143 166 220 260 286 332 415 440 520 572 664 715 830 913 1079 1144 1430 1660 1826 2158 2860 3320 3652 4316 4565 4679 5395 5720 7304 8632 9130 9358 10790 11869 18260 18716 21580 23395 23738 36520 37432 43160 46790 47476 51469 59345 60827 93580 94952 102938 118690 121654 187160 205876 237380 243308 257345 304135 388357 411752 474760 486616 514690 608270 669097 776714 1029380 1216540 1338194 1553428 1941785 2058760 2433080 2676388 3106856 3345485 3883570 4271927 5048641 5352776 6690970 7767140 8543854 10097282 13381940 15534280 17087708 20194564 21359635 25243205 26763880 34175416 40389128 42719270 50486410 55535051 85438540 100972820 111070102 170877080 201945640 222140204 277675255 444280408 555350510 1110701020 2221402040