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2231401122 = 234591571487
BaseRepresentation
bin1000010100000000…
…0111101010100010
312202111202220220000
42011000013222202
514032214313442
61005230400430
7106203411426
oct20500075242
95674686800
102231401122
11a45627765
12523360116
132973a72c2
141724d2b86
15d0d70d4c
hex85007aa2

2231401122 has 80 divisors (see below), whose sum is σ = 5120565120. Its totient is φ = 726047712.

The previous prime is 2231401121. The next prime is 2231401127. The reversal of 2231401122 is 2211041322.

It is a happy number.

It is a super-3 number, since 3×22314011223 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2231401095 and 2231401104.

It is not an unprimeable number, because it can be changed into a prime (2231401121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1499863 + ... + 1501349.

It is an arithmetic number, because the mean of its divisors is an integer number (64007064).

Almost surely, 22231401122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231401122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560282560).

2231401122 is an abundant number, since it is smaller than the sum of its proper divisors (2889163998).

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

2231401122 is a wasteful number, since it uses less digits than its factorization.

2231401122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2231401122 is about 47237.7086870225. The cubic root of 2231401122 is about 1306.7501211651.

Adding to 2231401122 its reverse (2211041322), we get a palindrome (4442442444).

The spelling of 2231401122 in words is "two billion, two hundred thirty-one million, four hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 59 81 118 157 162 177 314 354 471 531 942 1062 1413 1487 1593 2826 2974 3186 4239 4461 4779 8478 8922 9263 9558 12717 13383 18526 25434 26766 27789 40149 55578 80298 83367 87733 120447 166734 175466 233459 240894 250101 263199 466918 500202 526398 700377 750303 789597 1400754 1500606 1579194 2101131 2368791 4202262 4737582 6303393 7106373 12606786 13774081 14212746 18910179 27548162 37820358 41322243 82644486 123966729 247933458 371900187 743800374 1115700561 2231401122