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2222222440 = 235292417949
BaseRepresentation
bin1000010001110100…
…0110110001101000
312201212111121002211
42010131012301220
514022342104230
61004301534504
7106032402424
oct20435066150
95655447084
102222222440
11a40428679
12520274434
13295512529
141711c3b84
15d015b42a
hex84746c68

2222222440 has 64 divisors (see below), whose sum is σ = 5194530000. Its totient is φ = 854568960.

The previous prime is 2222222393. The next prime is 2222222447. The reversal of 2222222440 is 442222222.

It can be written as a sum of positive squares in 8 ways, for example, as 1249905316 + 972317124 = 35354^2 + 31182^2 .

It is not an unprimeable number, because it can be changed into a prime (2222222447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275586 + ... + 283534.

Almost surely, 22222222440 is an apocalyptic number.

2222222440 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 2222222440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2597265000).

2222222440 is an abundant number, since it is smaller than the sum of its proper divisors (2972307560).

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

2222222440 is a wasteful number, since it uses less digits than its factorization.

2222222440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8230 (or 8226 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 2222222440 is about 47140.4543889853. The cubic root of 2222222440 is about 1304.9559230182.

Adding to 2222222440 its reverse (442222222), we get a palindrome (2664444662).

The spelling of 2222222440 in words is "two billion, two hundred twenty-two million, two hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 241 290 482 580 964 1160 1205 1928 2410 4820 6989 7949 9640 13978 15898 27956 31796 34945 39745 55912 63592 69890 79490 139780 158980 230521 279560 317960 461042 922084 1152605 1844168 1915709 2305210 3831418 4610420 7662836 9220840 9578545 15325672 19157090 38314180 55555561 76628360 111111122 222222244 277777805 444444488 555555610 1111111220 2222222440