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22030222240 = 2551314097517
BaseRepresentation
bin10100100001000110…
…101000001110100000
32002212022202020121001
4110201012220032200
5330104214102430
614042012041344
71406633541115
oct244106501640
962768666531
1022030222240
119385539044
124329a63254
1321011a4180
1410cdbaa90c
1588e0ed3ca
hex5211a83a0

22030222240 has 96 divisors (see below), whose sum is σ = 56097210960. Its totient is φ = 8127381504.

The previous prime is 22030222237. The next prime is 22030222241. The reversal of 22030222240 is 4222203022.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4141694736 + 17888527504 = 64356^2 + 133748^2 .

It is not an unprimeable number, because it can be changed into a prime (22030222241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2926962 + ... + 2934478.

Almost surely, 222030222240 is an apocalyptic number.

22030222240 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 22030222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28048605480).

22030222240 is an abundant number, since it is smaller than the sum of its proper divisors (34066988720).

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

22030222240 is a wasteful number, since it uses less digits than its factorization.

22030222240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8954 (or 8946 counting only the distinct ones).

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

Adding to 22030222240 its reverse (4222203022), we get a palindrome (26252425262).

The spelling of 22030222240 in words is "twenty-two billion, thirty million, two hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 1409 2080 2818 5636 7045 7517 11272 14090 15034 18317 22544 28180 30068 36634 37585 45088 56360 60136 73268 75170 91585 97721 112720 120272 146536 150340 183170 195442 225440 240544 293072 300680 366340 390884 488605 586144 601360 732680 781768 977210 1202720 1465360 1563536 1954420 2930720 3127072 3908840 7817680 10591453 15635360 21182906 42365812 52957265 84731624 105914530 137688889 169463248 211829060 275377778 338926496 423658120 550755556 688444445 847316240 1101511112 1376888890 1694632480 2203022224 2753777780 4406044448 5507555560 11015111120 22030222240