Search a number
-
+
122232533696 = 2673131074003
BaseRepresentation
bin111000111010110100…
…0000111001011000000
3102200111121002001222122
41301311220013023000
54000313012034241
6132053003223412
711555015252000
oct1616550071300
9380447061878
10122232533696
1147925095799
121b833517b68
13b6ac89a020
145cb7a52000
1532a5e9c04b
hex1c75a072c0

122232533696 has 224 divisors, whose sum is σ = 307545638400. Its totient is φ = 47891837952.

The previous prime is 122232533677. The next prime is 122232533699. The reversal of 122232533696 is 696335232221.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (122232533699) 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, 30533231 + ... + 30537233.

It is an arithmetic number, because the mean of its divisors is an integer number (1372971600).

Almost surely, 2122232533696 is an apocalyptic number.

122232533696 is a gapful number since it is divisible by the number (16) 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 122232533696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153772819200).

122232533696 is an abundant number, since it is smaller than the sum of its proper divisors (185313104704).

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

122232533696 is a wasteful number, since it uses less digits than its factorization.

122232533696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4156 (or 4132 counting only the distinct ones).

The product of its digits is 699840, while the sum is 44.

The spelling of 122232533696 in words is "one hundred twenty-two billion, two hundred thirty-two million, five hundred thirty-three thousand, six hundred ninety-six".