Search a number
-
+
60225312 = 253733159
BaseRepresentation
bin1110010110111…
…1011100100000
311012022202121010
43211233130200
5110404202222
65550500520
71330623000
oct345573440
9135282533
1060225312
1130aa5194
1218204740
13c6286a4
147dda000
15544980c
hex396f720

60225312 has 192 divisors, whose sum is σ = 193536000. Its totient is φ = 16369920.

The previous prime is 60225287. The next prime is 60225317. The reversal of 60225312 is 21352206.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (60225317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1020739 + ... + 1020797.

It is an arithmetic number, because the mean of its divisors is an integer number (1008000).

Almost surely, 260225312 is an apocalyptic number.

60225312 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60225312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96768000).

60225312 is an abundant number, since it is smaller than the sum of its proper divisors (133310688).

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

60225312 is a wasteful number, since it uses less digits than its factorization.

60225312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 60225312 is about 7760.4968913079. The cubic root of 60225312 is about 391.9761890299.

Adding to 60225312 its reverse (21352206), we get a palindrome (81577518).

The spelling of 60225312 in words is "sixty million, two hundred twenty-five thousand, three hundred twelve".