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90214180 = 22571973271
BaseRepresentation
bin1010110000010…
…00111100100100
320021202100120221
411120020330210
5141043323210
612541334124
72143544050
oct530107444
9207670527
1090214180
1146a18281
1226267344
13158c8594
14bda4c60
157dc01da
hex5608f24

90214180 has 48 divisors (see below), whose sum is σ = 217679616. Its totient is φ = 30764160.

The previous prime is 90214141. The next prime is 90214213. The reversal of 90214180 is 8141209.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 25945 + ... + 29215.

It is an arithmetic number, because the mean of its divisors is an integer number (4534992).

Almost surely, 290214180 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90214180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108839808).

90214180 is an abundant number, since it is smaller than the sum of its proper divisors (127465436).

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

90214180 is a wasteful number, since it uses less digits than its factorization.

90214180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3484 (or 3482 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 90214180 is about 9498.1145497409. The cubic root of 90214180 is about 448.4956846119.

Adding to 90214180 its reverse (8141209), we get a palindrome (98355389).

The spelling of 90214180 in words is "ninety million, two hundred fourteen thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 197 394 788 985 1379 1970 2758 3271 3940 5516 6542 6895 13084 13790 16355 22897 27580 32710 45794 65420 91588 114485 228970 457940 644387 1288774 2577548 3221935 4510709 6443870 9021418 12887740 18042836 22553545 45107090 90214180