Search a number
-
+
2242151436660 = 22351746112133931
BaseRepresentation
bin100000101000001010101…
…000111101000101110100
321221100101101111101020020
4200220022220331011310
5243213411231433120
64434010302405140
7320663413516662
oct40501250750564
97840341441206
102242151436660
11794989040253
12302663b907b0
13133584592c35
147a740b77c32
153d4cbc61640
hex20a0aa3d174

2242151436660 has 192 divisors, whose sum is σ = 6668926919424. Its totient is φ = 560909721600.

The previous prime is 2242151436659. The next prime is 2242151436667. The reversal of 2242151436660 is 666341512422.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242151436667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 570374895 + ... + 570378825.

It is an arithmetic number, because the mean of its divisors is an integer number (34733994372).

Almost surely, 22242151436660 is an apocalyptic number.

2242151436660 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 2242151436660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3334463459712).

2242151436660 is an abundant number, since it is smaller than the sum of its proper divisors (4426775482764).

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

2242151436660 is a wasteful number, since it uses less digits than its factorization.

2242151436660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5634 (or 5632 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 2242151436660 in words is "two trillion, two hundred forty-two billion, one hundred fifty-one million, four hundred thirty-six thousand, six hundred sixty".