Search a number
-
+
232215022545220 = 2251113177751538867
BaseRepresentation
bin110100110011001011000101…
…111011100010100101000100
31010110012112120012000201102201
4310303023011323202211010
5220414102331232421340
62141514035245044244
766624660510005041
oct6463130573424504
91113175505021381
10232215022545220
1167a99924436a10
12220649b1256684
139c75a23692470
14414b3a4b541c8
151bca6a408479a
hexd332c5ee2944

232215022545220 has 192 divisors, whose sum is σ = 573403616061696. Its totient is φ = 77878535454720.

The previous prime is 232215022545199. The next prime is 232215022545223. The reversal of 232215022545220 is 22545220512232.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 232215022545220.

It is not an unprimeable number, because it can be changed into a prime (232215022545223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26188675227 + ... + 26188684093.

It is an arithmetic number, because the mean of its divisors is an integer number (2986477166988).

Almost surely, 2232215022545220 is an apocalyptic number.

232215022545220 is a gapful number since it is divisible by the number (20) 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 232215022545220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286701808030848).

232215022545220 is an abundant number, since it is smaller than the sum of its proper divisors (341188593516476).

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

232215022545220 is a wasteful number, since it uses less digits than its factorization.

232215022545220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15830 (or 15828 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 37.

The spelling of 232215022545220 in words is "two hundred thirty-two trillion, two hundred fifteen billion, twenty-two million, five hundred forty-five thousand, two hundred twenty".