Search a number
-
+
93321228 = 2237111317457
BaseRepresentation
bin1011000111111…
…11100000001100
320111121012122210
411203333200030
5142342234403
613132110420
72212134360
oct543774014
9214535583
1093321228
114874a690
1227305410
1316445880
14c5732a0
1582d5b03
hex58ff80c

93321228 has 192 divisors, whose sum is σ = 310238208. Its totient is φ = 21012480.

The previous prime is 93321209. The next prime is 93321269. The reversal of 93321228 is 82212339.

It is a happy number.

It is a super-4 number, since 4×933212284 (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a junction number, because it is equal to n+sod(n) for n = 93321195 and 93321204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 203976 + ... + 204432.

It is an arithmetic number, because the mean of its divisors is an integer number (1615824).

Almost surely, 293321228 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 93321228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155119104).

93321228 is an abundant number, since it is smaller than the sum of its proper divisors (216916980).

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

93321228 is a wasteful number, since it uses less digits than its factorization.

93321228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 510 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 93321228 is about 9660.2912999557. The cubic root of 93321228 is about 453.5865293102.

Subtracting from 93321228 its reverse (82212339), we obtain a square (11108889 = 33332).

The spelling of 93321228 in words is "ninety-three million, three hundred twenty-one thousand, two hundred twenty-eight".