Search a number
-
+
1742820222 = 2311138324473
BaseRepresentation
bin110011111100001…
…0101001101111110
311111110102102220010
41213320111031332
512032130221342
6444534404050
761121504343
oct14770251576
94443372803
101742820222
1181485a6a0
12407800626
1321a0bc990
141276707ca
15a301129c
hex67e1537e

1742820222 has 64 divisors (see below), whose sum is σ = 4144525056. Its totient is φ = 481608960.

The previous prime is 1742820199. The next prime is 1742820223. The reversal of 1742820222 is 2220282471.

It is a self number, because there is not a number n which added to its sum of digits gives 1742820222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1742820223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58978 + ... + 83450.

It is an arithmetic number, because the mean of its divisors is an integer number (64758204).

Almost surely, 21742820222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1742820222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072262528).

1742820222 is an abundant number, since it is smaller than the sum of its proper divisors (2401704834).

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

1742820222 is a wasteful number, since it uses less digits than its factorization.

1742820222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24585.

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 1742820222 is about 41747.0983662338. The cubic root of 1742820222 is about 1203.4208458559.

The spelling of 1742820222 in words is "one billion, seven hundred forty-two million, eight hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 83 143 166 249 286 429 498 858 913 1079 1826 2158 2739 3237 5478 6474 11869 23738 24473 35607 48946 71214 73419 146838 269203 318149 538406 636298 807609 954447 1615218 1908894 2031259 3499639 4062518 6093777 6999278 10498917 12187554 20997834 22343849 26406367 44687698 52812734 67031547 79219101 134063094 158438202 290470037 580940074 871410111 1742820222