Search a number
-
+
74225234148 = 2231317435312281
BaseRepresentation
bin100010100100000101…
…0110011000011100100
321002120212212120111020
41011020022303003210
52204003124443043
654033144211140
75235241036362
oct1051012630344
9232525776436
1074225234148
112952a23401a
1212475a69ab0
136ccb919cc0
143841c3a632
151de6526e83
hex11482b30e4

74225234148 has 192 divisors, whose sum is σ = 205908417792. Its totient is φ = 20597391360.

The previous prime is 74225234141. The next prime is 74225234177. The reversal of 74225234148 is 84143252247.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (74225234141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6037768 + ... + 6050048.

It is an arithmetic number, because the mean of its divisors is an integer number (1072439676).

Almost surely, 274225234148 is an apocalyptic number.

74225234148 is a gapful number since it is divisible by the number (78) 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 74225234148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102954208896).

74225234148 is an abundant number, since it is smaller than the sum of its proper divisors (131683183644).

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

74225234148 is a wasteful number, since it uses less digits than its factorization.

74225234148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12414 (or 12412 counting only the distinct ones).

The product of its digits is 430080, while the sum is 42.

The spelling of 74225234148 in words is "seventy-four billion, two hundred twenty-five million, two hundred thirty-four thousand, one hundred forty-eight".