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2231414120 = 235134291181
BaseRepresentation
bin1000010100000000…
…1010110101101000
312202111210120201102
42011000022311220
514032220222440
61005230540532
7106203464345
oct20500126550
95674716642
102231414120
11a45636501
12523367748
132973b01b0
141724d77cc
15d0d74b15
hex8500ad68

2231414120 has 32 divisors (see below), whose sum is σ = 5406889320. Its totient is φ = 823906560.

The previous prime is 2231414117. The next prime is 2231414123. The reversal of 2231414120 is 214141322.

It is an interprime number because it is at equal distance from previous prime (2231414117) and next prime (2231414123).

It can be written as a sum of positive squares in 4 ways, for example, as 1107957796 + 1123456324 = 33286^2 + 33518^2 .

It is a super-3 number, since 3×22314141203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2231414092 and 2231414101.

It is not an unprimeable number, because it can be changed into a prime (2231414123) 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 7 ways as a sum of consecutive naturals, for example, 2145071 + ... + 2146110.

Almost surely, 22231414120 is an apocalyptic number.

2231414120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2231414120 is an abundant number, since it is smaller than the sum of its proper divisors (3175475200).

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

2231414120 is a wasteful number, since it uses less digits than its factorization.

2231414120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4291205 (or 4291201 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2231414120 is about 47237.8462675851. The cubic root of 2231414120 is about 1306.7526584506.

Adding to 2231414120 its reverse (214141322), we get a palindrome (2445555442).

The spelling of 2231414120 in words is "two billion, two hundred thirty-one million, four hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 4291181 8582362 17164724 21455905 34329448 42911810 55785353 85823620 111570706 171647240 223141412 278926765 446282824 557853530 1115707060 2231414120