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2334226640 = 24529177833
BaseRepresentation
bin1000101100100001…
…0111100011010000
320000200020222222112
42023020113203100
514240030223030
61023342324452
7111562412324
oct21310274320
96020228875
102334226640
11a98679029
12551889728
132b2799bc5
1418201b984
15d9dd2a95
hex8b2178d0

2334226640 has 20 divisors (see below), whose sum is σ = 5427077124. Its totient is φ = 933690624.

The previous prime is 2334226639. The next prime is 2334226651. The reversal of 2334226640 is 466224332.

It can be written as a sum of positive squares in 2 ways, for example, as 939054736 + 1395171904 = 30644^2 + 37352^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×23342266402 = 10897228013771379200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2334226597 and 2334226606.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 14588837 + ... + 14588996.

Almost surely, 22334226640 is an apocalyptic number.

2334226640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2334226640 is an abundant number, since it is smaller than the sum of its proper divisors (3092850484).

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

2334226640 is a wasteful number, since it uses less digits than its factorization.

2334226640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29177846 (or 29177840 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

The square root of 2334226640 is about 48313.8348715976. The cubic root of 2334226640 is about 1326.5216438139.

The spelling of 2334226640 in words is "two billion, three hundred thirty-four million, two hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 29177833 58355666 116711332 145889165 233422664 291778330 466845328 583556660 1167113320 2334226640